Class 12 • Physics

Ray Optics

Chapter-9

411 Questions

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Showing 411 of 411 questions

MediumAiims2019

If focal length of objective and eye lenses are $10 \mathrm{~cm} and 10 \mathrm{~mm} respectively and tube length is 11 \mathrm{~cm}$ then angular magnification of telescope is

Options:

A) 10

B) 5

C) 100

D) 50

MediumAiims2019

Calculate the focal length of given lens if the magnification is $-$0 5.

Options:

A) 6.66 cm

B) 5.44 cm

C) 3.88 cm

D) 1.38 cm

MediumAiims2018

Assertion A convex mirror always make a virtual image. Reason The ray always diverge after reflection from the convex mirror.

Options:

A) Both Assertion and Reason are correct, Reason is the correct explanation of Assertion

B) Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion

C) Assertion is correct and Reason is incorrect

D) Assertion is incorrect and Reason is correct

MediumAiims2017

A lens of refractive index $\mu is put in a liquid of refractive index \mu^{\prime}. If the focal length of lens in air is f$, then its focal length in liquid will be

Options:

A) \frac{-f \mu^{\prime}(\mu-1)}{\left(\mu^{\prime}-\mu\right)}

B) \frac{-f\left(\mu^{\prime}-\mu\right)}{\mu^{\prime}(\mu-1)}

C) -\frac{\mu^{\prime}(\mu-1)}{f\left(\mu^{\prime}-\mu\right)}

D) \frac{f \mu^{\prime} \mu}{\left(\mu-\mu^{\prime}\right)}

MediumAiims2017

In the given figure, the angle of reflection is

Options:

A) 30$^\circ

B) 60$^\circ

C) 45$^\circ

D) None of these

MediumAiims2017

A thin prism $P_1 of angle 4^{\circ} and refractive index 1.54 is combined with another prism P_2 of refractive index 1.72 produce dispersion without deviation, the angle of P_2$ is

Options:

A) 4^{\circ}

B) 5.33

C) 2.6^{\circ}

D) 3^{\circ}

MediumAiims2017

A simple telescope, consisting of an objective of focal length $60 \mathrm{~cm} and a single eye lens of focal length 5 \mathrm{~cm} is focused on a distant object in such a way that parallel rays emerge from the eye lens. If the object subtends an angle of 2^{\circ}$ at the objective, the angular width of the image is

Options:

A) 10^{\circ}

B) 24^{\circ}

C) 50^{\circ}

D) \frac{1}{6}^{\circ}

MediumAiims2017

Assertion : The mirror used in search lights are parabolic and not concave spherical. Reason : In concave spherical mirror, the image formed is always virtual.

Options:

A) Both assertion and reason are true and reason is the correct explanation of assertion

B) Both assertion and reason are true but reason is not the correct explanation of assertion

C) Assertion is true but reason is false

D) Both assertion and reason are false.

MediumAiims2017

Assertion : Angle of deviation depends on the angle of prism. Reason : For thin prism $\delta=(\mu-1) A Where \delta= angle of deviation, \mu= refractive index, A=$ angle of prism

Options:

A) Both assertion and reason are true and reason is the correct explanation of assertion

B) Both assertion and reason are true but reason is not the correct explanation of assertion

C) Assertion is true but reason is false

D) Both assertion and reason are false.

HardJee Advance2025

Two identical concave mirrors each of focal length f are facing each other as shown in the schematic diagram. The focal length f is much larger than the size of the mirrors. A glass slab of thickness t and refractive index n_0 is kept equidistant from the mirrors and perpendicular to their common principal axis. A monochromatic point light source S is embedded at the center of the slab on the principal axis, as shown in the schematic diagram. For the image to be formed on S itself, which of the following distances between the two mirrors is/are correct:

Options:

A) 4f + \left(1 - \frac{1}{n_0}\right)t

B) 2f + \left(1 - \frac{1}{n_0}\right)t

C) 4f + (n_0 - 1)t

D) 2f + (n_0 - 1)t

HardJee Advance2024

A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface (SPU) is 9 \mathrm{~cm}, while the planar surface (STU) acts as a mirror. This beaker is filled with a liquid of refractive index n up to the level QPR. If the image of a point object \mathrm{O} at a height of h (OT in the figure) is formed onto itself, then, which of the following option(s) is(are) correct?

Options:

A) For n=1.42, h=50 \mathrm{~cm}.

B) For n=1.35, h=36 \mathrm{~cm}.

C) For n=1.45, h=65 \mathrm{~cm}.

D) For n=1.48, h=85 \mathrm{~cm}.

HardJee Advance2023

A monochromatic light wave is incident normally on a glass slab of thickness d, as shown in the figure. The refractive index of the slab increases linearly from n_1 to n_2 over the height h. Which of the following statement(s) is(are) true about the light wave emerging out of the slab?

Options:

A) It will deflect up by an angle \tan ^{-1}\left[\frac{\left(n_2^2-n_1^2\right) d}{2 h}\right].

B) It will deflect up by an angle \tan ^{-1}\left[\frac{\left(n_2-n_1\right) d}{h}\right].

C) It will not deflect.

D) The deflection angle depends only on \left(n_2-n_1\right) and not on the individual values of n_1 and n_2.

HardJee Advance2023

A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is \delta=60^{\circ} (see Figure-1). The angle of minimum deviation for red light from the same prism is \delta_{\min }=30^{\circ} (see Figure-2). The refractive index of the prism material for blue light is \sqrt{3}. Which of the following statement(s) is(are) correct?

Options:

A) The blue light is polarized in the plane of incidence.

B) The angle of the prism is 45^{\circ}.

C) The refractive index of the material of the prism for red light is \sqrt{2}.

D) The angle of refraction for blue light in air at the exit plane of the prism is 60^{\circ}.

HardJee Advance2022

Three plane mirrors form an equilateral triangle with each side of length L. There is a small hole at a distance l>0 from one of the corners as shown in the figure. A ray of light is passed through the hole at an angle \theta and can only come out through the same hole. The cross section of the mirror configuration and the ray of light lie on the same plane. Which of the following statement(s) is(are) correct?

Options:

A) The ray of light will come out for \theta=30^{\circ}, for 0< l < L.

B) There is an angle for l=\frac{L}{2} at which the ray of light will come out after two reflections.

C) The ray of light will NEVER come out for \theta=60^{\circ}, and l=\frac{L}{3}.

D) The ray of light will come out for \theta=60^{\circ}, and 0 < l < \frac{L}{2} after six reflections.

HardJee Advance2021

For a prism of prism angle $\theta = 60^\circ, the refractive indices of the left half and the right half are, respectively, n1 and n2 (n2 \ge n1) as shown in the figure. The angle of incidence i is chosen such that the incident light rays will have minimum deviation if n1 = n2 = n = 1.5. For the case of unequal refractive indices, n1 = n and n2 = n + \Deltan (where \Deltan << n), the angle of emergence e = i + \Delta$e. Which of the following statement(s) is(are) correct?

Options:

A) The value of $\Deltae (in radians) is greater than that of \Delta$n

B) \Deltae is proportional to \Delta$n

C) \Deltae lies between 2.0 and 3.0 milliradians, if \Deltan = 2.8 \times 10-$3

D) \Deltae lies between1.0 and 1.6 milliradians, if \Deltan = 2.8 \times 10-$3

MediumJee Advance2021

A wide slab consisting of two media of refractive indices n1 and n2 is placed in air as shown in the figure. A ray of light is incident from medium n1 to n2 at an angle $\theta, where sin\theta$ is slightly larger than 1/n1. Take refractive index of air as 1. Which of the following statement(s) is(are) correct?

Options:

A) The light ray enters air if n2 = n1

B) The light ray is finally reflected back into the medium of refractive index n1 if n2 < n1

C) The light ray is finally reflected back into the medium of refractive index n1 if n2 > n1

D) The light ray is reflected back into the medium of refractive index n1 if n2 = 1

HardJee Advance2020

A beaker of radius r is filled with water (refractive index ${4 \over 3}) up to a height H as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed \omega$. This makes the water surface curved so that the difference in the height of water level at the center and at the circumference of the beaker is h (h << H, h << r), as shown in the figure on the right. Take this surface to be approximately spherical with a radius of curvature R. Which of the following is/are correct? (g is the acceleration due to gravity)

Options:

A) R = {{{h^2} + {r^2}} \over {2h}}

B) R = {{3{r^2}} \over {2h}}

C) Apparent depth of the bottom of the beaker is close to ${{3H} \over 2}\left( {1 + {{{\omega ^2}H} \over {2g}}} \right)^{-1}

D) Apparent depth of the bottom of the beaker is close to ${{3H} \over 4}{\left( {1 + {{{\omega ^2}H} \over {4g}}} \right)^{ - 1}}

MediumJee Advance2019

Three glass cylinders of equal height H = 30 cm and same refractive index n = 1.5 are placed on a horizontal surface as shown in figure. Cylinder I has a flat top, cylinder II has a convex top and cylinder III has a concave top. The radii of curvature of the two curved tops are same (R = 3 m). If H1, H2, and H3 are the apparent depths of a point X on the bottom of the three cylinders, respectively, the correct statement(s) is/are

Options:

A) H2 > H1

B) H3 > H1

C) 0.85 cm < (H2 $ - $ H1) < 0.9 cm

D) H2 > H3

MediumJee Advance2019

A thin convex lens is made of two materials with refractive indices n1 and n2, as shown in the figure. The radius of curvature of the left and right spherical surfaces are equal. f is the focal length of the lens when n1 = n2 = n. The focal length is f + $\Delta f when n1 = n and n2 = n + \Delta n.Assuming \Delta $n << (n - 1) and 1 < n < 2, the correct statement(s) is/are

Options:

A) If ${{\Delta n} \over n} < 0 then {{\Delta f} \over f}$ > 0

B) For n = 1.5, $\Delta n = 10-3 and f = 20 cm, the value of \left| {\Delta f} \right|$ will be 0.02 cm (round off to 2nd decimal place).

C) \left| {{{\Delta f} \over f}} \right| < \left| {{{\Delta n} \over n}} \right|

D) The relation between ${{{\Delta f} \over f}} and {{{\Delta n} \over n}}$ remains unchanged if both the convex surfaces are replaced by concave surfaces of the same radius of curvature.

MediumJee Advance2018

A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length $f,$ as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.)

Options:

MediumJee Advance2017

For an isosceles prism of angle $A and refractive index \mu , it is found that the angle of minimum deviation {\delta _m} = A.$ Which of the following options is/are correct?

Options:

A) For the angle of incidence ${i_1} = A,$ the ray inside the prism is parallel to the base of the prism

B) For this prism, the refractive index $\mu and the angle of prism A are related as A = {1 \over 2}{\cos ^{ - 1}}\left( {{\mu \over 2}} \right)

C) At minimum deviation, the incident angle ${i_1} and the refracting angle {r_1} at the first refracting surface are related by {r_1} = \left( {{i_1}/2} \right)

D) For this prism, the emergent ray at the second surface will be tangential to the surface when the angle of incidence at the first surface is ${i_1} = {\sin ^{ - 1}}\left[ {\sin A\sqrt {4{{\cos }^2}{A \over 2} - 1} - \cos A} \right]

MediumJee Advance2016

A plano-convex lens is made of material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away form the lens. Which of the following statement(s) is(are) true?

Options:

A) The refractive index of the lens is 2.5

B) The radius of curvature of the convex surface is 45 cm

C) The faint image is erect and real

D) The focal length of the lens is 20 cm

MediumJee Advance2016

A transparent slab of thickness d has a refractive index n (z) that increases with z. Here, z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n1 and n2 (> n1), as shown in the figure. A ray of light is incident with angle $\thetai from medium 1 and emerges in medium 2 with refraction angle \thetaf with a lateral displacement l$. Which of the following statement(s) is (are) true?

Options:

A) l is dependent on n(z)

B) n1 sin$\thetai = (n2 - n1) sin\theta$f

C) n1 sin$\thetai = n2 sin\theta$f

D) l is independent of n2

HardJee Advance2015

Light guidance in an optical fibre can be understood by considering a structure comprising of thin solid glass cylinder of refractive index n1 surrounded by a medium of lower refractive index n2. The light guidance in the structure takes place due to successive total internal reflections at the interface of the media n1 and n2 as shown in the figure. All rays with the angle of incidence i less than a particular value im are confined in the medium of refractive index n1. The numerical aperture (NA) of the structure is defined as sin im.

Options:

A) NA of S1 immersed in water is the same as that of S2 immersed in a liquid of refractive index ${{16} \over {3\sqrt {15} }}

B) NA of S1 immersed in liquid of refractive index ${6 \over {\sqrt {15} }}$ is the same as that of S2 immersed in water

C) NA of S1 placed in air is the same as that S2 immersed in liquid of refractive index ${4 \over {\sqrt {15} }}

D) NA of S1 placed in air is the same as that of S2 placed in water

MediumJee Advance2015

Light guidance in an optical fibre can be understood by considering a structure comprising of thin solid glass cylinder of refractive index n1 surrounded by a medium of lower refractive index n2. The light guidance in the structure takes place due to successive total internal reflections at the interface of the media n1 and n2 as shown in the figure. All rays with the angle of incidence i less than a particular value im are confined in the medium of refractive index n1. The numerical aperture (NA) of the structure is defined as sin im.

Options:

A) {{N{A_1}N{A_2}} \over {N{A_1} + N{A_2}}}

B) N{A_1} + N{A_2}

C) N{A_1}

D) N{A_2}

HardJee Advance2015

Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light P is placed inside rod S1 on its axis at a distance of 50 cm from the curved face, the light rays emanating from it are found to be parallel to the axis inside S2. The distance d is

Options:

A) 60 cm

B) 70 cm

C) 80 cm

D) 90 cm

MediumJee Advance2014

A transparent thin film of uniform thickness and refractive index n1 = 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n2 = 1.5, as shown in the figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f1 from the film, while rays of light traversing from glass to air get focused at distance f2 from the film. Then

Options:

A) \left| {{f_1}} \right| = 3R

B) \left| {{f_1}} \right| = 2.8R

C) \left| {{f_2}} \right| = 2R

D) \left| {{f_2}} \right| = 1.4R

MediumJee Advance2010

A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60$^\circ (see figure). If the refractive index of the material of the prism is \sqrt3$, which of the following is(are) correct?

Options:

A) The ray gets totally internally reflected at face CD.

B) The ray comes out through face AD.

C) The angle between the incident ray and the emergent ray is 90$^\circ$.

D) The angle between the incident ray and the emergent ray is 120$^\circ$.

MediumJee Advance2009

A student performed the experiment of determination of focal length of a concave mirror by $u-v method using an optical bench of length 1.5 m. The focal length of the mirror used is 24 cm. The maximum error in the location of the image can be 0.2 cm. The 5 sets of (u,v$) values recorded by the student (in cm) are : (42, 56), (48, 48), (60, 40), (66, 33), (78, 39). The data set(s) that cannot come from experiment and is (are) incorrectly recorded, is (are)

Options:

A) (42, 56)

B) (48, 48)

C) (66, 33)

D) (78, 39)

HardJee Advance2025

A solid glass sphere of refractive index n=\sqrt{3} and radius R contains a spherical air cavity of radius \frac{R}{2}, as shown in the figure. A very thin glass layer is present at the point 0 so that the air cavity (refractive index n=1 ) remains inside the glass sphere. An unpolarized, unidirectional and monochromatic light source S emits a light ray from a point inside the glass sphere towards the periphery of the glass sphere. If the light is reflected from the point 0 and is fully polarized, then the angle of incidence at the inner surface of the glass sphere is \theta. The value of \sin \theta is ________.

Options:

MediumJee Advance2024

Two equilateral-triangular prisms \mathrm{P}_1 and \mathrm{P}_2 are kept with their sides parallel to each other, in vacuum, as shown in the figure. A light ray enters prism \mathrm{P}_1 at an angle of incidence \theta such that the outgoing ray undergoes minimum deviation in prism \mathrm{P}_2. If the respective refractive indices of \mathrm{P}_1 and \mathrm{P}_2 are \sqrt{\frac{3}{2}} and \sqrt{3}, then \theta=\sin ^{-1}\left[\sqrt{\frac{3}{2}} \sin \left(\frac{\pi}{\beta}\right)\right], where the value of \beta is ____.

Options:

HardJee Advance2023

An optical arrangement consists of two concave mirrors M_1 and M_2, and a convex lens L with a common principal axis, as shown in the figure. The focal length of \mathrm{L} is 10 \mathrm{~cm}. The radii of curvature of M_1 and M_2 are 20 \mathrm{~cm} and 24 \mathrm{~cm}, respectively. The distance between L and M_2 is 20 \mathrm{~cm}. A point object S is placed at the mid-point between \mathrm{L} and M_2 on the axis. When the distance between \mathrm{L} and \mathrm{M}_1 is n / 7 \mathrm{~cm}, one of the images coincides with \mathrm{S}. The value of n is _______.

Options:

HardJee Advance2022

Consider a configuration of n identical units, each consisting of three layers. The first layer is a column of air of height h=\frac{1}{3} \mathrm{~cm}, and the second and third layers are of equal thickness d= \frac{\sqrt{3}-1}{2} \mathrm{~cm}, and refractive indices \mu_{1}=\sqrt{\frac{3}{2}} and \mu_{2}=\sqrt{3}, respectively. A light source 0 is placed on the top of the first unit, as shown in the figure. A ray of light from 0 is incident on the second layer of the first unit at an angle of \theta=60^{\circ} to the normal. For a specific value of n, the ray of light emerges from the bottom of the configuration at a distance l=\frac{8}{\sqrt{3}} \mathrm{~cm}, as shown in the figure. The value of n is ________.

Options:

HardJee Advance2022

An object and a concave mirror of focal length f=10 \mathrm{~cm} both move along the principal axis of the mirror with constant speeds. The object moves with speed V_{0}=15 \mathrm{~cm} \mathrm{~s}^{-1} towards the mirror with respect to a laboratory frame. The distance between the object and the mirror at a given moment is denoted by u. When u=30 \mathrm{~cm}, the speed of the mirror V_{m} is such that the image is instantaneously at rest with respect to the laboratory frame, and the object forms a real image. The magnitude of V_{m} is _________ \mathrm{cm} \,\mathrm{s}^{-1}.

Options:

HardJee Advance2022

A rod of length 2 \mathrm{~cm} makes an angle \frac{2 \pi}{3} \mathrm{rad} with the principal axis of a thin convex lens. The lens has a focal length of 10 \mathrm{~cm} and is placed at a distance of \frac{40}{3} \mathrm{~cm} from the object as shown in the figure. The height of the image is \frac{30 \sqrt{3}}{13} \mathrm{~cm} and the angle made by it with respect to the principal axis is \alpha rad. The value of \alpha is \frac{\pi}{n} r a d, where n is __________ .

Options:

MediumJee Advance2020

A large square container with thin transparent vertical walls and filled with water (refractive index ${4 \over 3}$) is kept on a horizontal table. A student holds a thin straight wire vertically inside the water 12 cm from one of its corners, as shown schematically in the figure. Looking at the wire from this corner, another student sees two images of the wire, located symmetrically on each side of the line of sight as shown. The separation (in cm) between these images is ;

Options:

MediumJee Advance2019

A monochromatic light is incident from air on a refracting surface of a prism of angle 75$^\circ and refractive index {n_0} = \sqrt 3 . The other refracting surface of the prism is coated by a thin film of material of refractive index n as shown in figure. The light suffers total internal reflection at the coated prism surface for an incidence angle of \theta \le 60^\circ $. The value of n2 is .............

Options:

HardJee Advance2019

A planar structure of length L and width W is made of two different optical media of refractive indices n1 = 1.5 and n2 = 1.44 as shown in figure. If L >> W, a ray entering from end AB will emerge from end CD. CD only if the total internal reflection condition is met inside the structure. For L = 9.6 m, if the incident angle $\theta is varied, the maximum time taken by a ray to exit the plane CD is t \times 10-9 s, where, t is ................[Speed of light, c = 3 \times $ 108 m/s]

Options:

HardJee Advance2018

Sunlight of intensity $1.3 kW\,{m^{ - 2}} is incident normally on a thin convex lens of focal length 20 cm. Ignore the energy loss of light due to the lens and assume that the lens aperture size is much smaller than its focal length. The average intensity of light, in kW\,{m^{ - 2}}, at a distance 22$ cm from the lens on the other side is ___________.

Options:

HardJee Advance2017

A monochromatic light is travelling in a medium of refractive index $n=1.6. It enters a stack of glass layers from the bottom side at an angle \theta = {30^ \circ }. The interfaces of the glass layers are parallel to each other. The refractive indices of different glass layers are monotonically decreasing as {n_m} = n - m\Delta n, where {n_m} is the refractive index of the {m^{th}} slab and \Delta n = 0.1 (see the figure). The ray is refracted out parallel to the interface between the {\left( {m - 1} \right)^{th}} and {m^{th}} slabs from the right side of the stack. What is the value of m$?

Options:

HardJee Advance2015

A monochromatic beam of light is incident at 60$^\circ on one face of an equilateral prism of refractive index n and emerges from the opposite face making an angle \theta(n) with the normal (see figure). For n = \sqrt 3 the value of \theta is 60^\circ and {{d\theta } \over {dn}} = m$. The value of m is

Options:

HardJee Advance2015

Consider a concave mirror and a convex lens (refractive index = 1.5) of focal length 10 cm each, separated by a distance of 50 cm in air (refractive index = 1) as shown in the figure. An object is placed at a distance of 15 cm from the mirror. Its erect image formed by this combination has magnification M1. When the set-up is kept in a medium of refractive index ${7 \over 6}, the magnification becomes M2. The magnitude \left| {{{{M_2}} \over {{M_1}}}} \right|$ is

Options:

MediumJee Advance2011

Water (with refractive index = 4/3) in a tank is 18 cm deep. Oil of refractive index 7/4 lies on water making a convex surface of radius of curvature R = 6 cm as shown. Consider oil to act a thin lens. An object S is placed 24 cm above water surface. The location of its image is at x cm above the bottom of the tank. Then x is __________.

Options:

EasyJee Advance2010

The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50 cm, the magnification of its image changes from m25 to m50. The ratio ${{{m_{25}}} \over {{m_{50}}}}$ is __________.

Options:

EasyJee Advance2010

A large glass slab ($\mu$ = 5/3) of thickness 8 cm is placed over a point source of light on a plane surface. It is seen that light emerges out of the top surface of the slab from a circular area of radius R cm. What is the value of R?

Options:

MediumJee Advance2010

Image of an object approaching a convex mirror of radius of curvature 20 m along its optical axis is observed to move from ${{25} \over 3} m to {{50} \over 7}$ m in 30 s. What is the speed of the object in km per hour?

Options:

HardJee Advance2024

A light ray is incident on the surface of a sphere of refractive index n at an angle of incidence \theta_0. The ray partially refracts into the sphere with angle of refraction \phi_0 and then partly reflects from the back surface. The reflected ray then emerges out of the sphere after a partial refraction. The total angle of deviation of the emergent ray with respect to the incident ray is \alpha. Match the quantities mentioned in List-I with their values in List-II and choose the correct option. List-I List-II (P) If n = 2 and \alpha = 180^\circ, then all the possible values of \theta_0 will be (1) 30^\circ and 0^\circ (Q) If n = \sqrt{3} and \alpha = 180^\circ, then all the possible values of \theta_0 will be (2) 60^\circ and 0^\circ (R) If n = \sqrt{3} and \alpha = 180^\circ, then all the possible values of \phi_0 will be (3) 45^\circ and 0^\circ (S) If n = \sqrt{2} and \theta_0 = 45^\circ, then all the possible values of \alpha will be (4) 150^\circ (5) 0^\circ

Options:

A) \mathrm{P} \rightarrow 5 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 1 ; \mathrm{S} \rightarrow 4

B) \mathrm{P} \rightarrow 5 ; \mathrm{Q} \rightarrow 1 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 4

C) \mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 1 ; \mathrm{S} \rightarrow 4

D) \mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 1 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 5

MediumJee Advance2022

List I contains four combinations of two lenses (1 and 2) whose focal lengths (in \mathrm{cm} ) are indicated in the figures. In all cases, the object is placed 20 \mathrm{~cm} from the first lens on the left, and the distance between the two lenses is 5 \mathrm{~cm}. List II contains the positions of the final images. List-I List-II (I) (P) Final image is formed at 7.5 \mathrm{~cm} on the right side of lens 2 . (II) (Q) Final image is formed at 60.0 \mathrm{~cm} on the right side of lens 2 . (III) (R) Final image is formed at 30.0 \mathrm{~cm} on the left side of lens 2 . (IV) (S) Final image is formed at 6.0 \mathrm{~cm} on the right side of lens 2 . (T) Final image is formed at 30.0 \mathrm{~cm} on the right side of lens 2 . Which one of the following options is correct?

Options:

A) (I) \rightarrow P; (II) \rightarrow R; (III) \rightarrow Q; (IV) \rightarrow T

B) (I) \rightarrow Q; (II) \rightarrow P; (III) \rightarrow T; (IV) \rightarrow S

C) (I) \rightarrow \mathrm{P}; (II) \rightarrow \mathrm{T}; (III) \rightarrow \mathrm{R}; (IV) \rightarrow \mathrm{Q}

D) (I) \rightarrow T; (II) \rightarrow S; (III) \rightarrow Q; (IV) \rightarrow R

MediumJee Advance2021

An extended object is placed at point O, 10 cm in front of a convex lens L1 and a concave lens L2 is placed 10 cm behind it, as shown in the figure. The radii of curvature of all the curved surfaces in both the lenses ae 20 cm. The refractive index of both the lenses is 1.5. The total magnification of this lens system is

Options:

A) 0.4

B) 0.8

C) 1.3

D) 1.6

HardJee Advance2016

A small object is placed 50 cm to the left of a thin convex lens of focal length 30 cm. A convex spherical mirror of radius of curvature 100 cm is placed to the right of the lens at a distance of 50 cm. The mirror is tilted such that the axis of the mirror is at an angle $\theta = 30^\circ$ to the axis of the lens, as shown in the figure.If the origin of the coordinate system is taken to be at the centre of the lens, the coordinates (in cm) of the point (x, y) at which the image is formed are

Options:

A) (125/3, 25/$\sqrt 3 $)

B) (50$-25\sqrt 3 $, 25)

C) (0, 0)

D) (25, 25$\sqrt 3 $)

HardJee Advance2016

A parallel beam of light is incident from air at an anglea on the side PQ of a right angled triangular prism of refractive index n = $\sqrt 2 $. Light undergoes total internal reflection in the prism at the face PR when a has a minimum value of 45°. The angle q of the prism is :

Options:

A) 15o

B) 22.5o

C) 30o

D) 45o

MediumJee Advance2014

A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the below figure. It is found that the light emerging from the block to the liquid forms a circular bright spot of diameter 11.54 mm on the top of the block. The refractive index of the liquid is

Options:

A) 1.21

B) 1.30

C) 1.36

D) 1.42

MediumJee Advance2014

Four combinations of two thin lenses are given in List I. The radius of curvature of all curved surfaces is r and the refractive index of all the lenses is 1.5. Match lens combinations in List I with their focal length in List II and select the correct answer using the code given below the lists.

Options:

A) P - 1, Q - 2, R - 3, S - 4

B) P - 2, Q - 4, R - 3, S - 1

C) P - 4, Q - 1, R - 2, S - 3

D) P - 2, Q - 1, R - 3, S - 4

HardJee Advance2013

A right-angled prism of refractive index $\mu1 is placed in a rectangular block of refractive index \mu2, which is surrounded by a medium of refractive index \mu3, as shown in the figure. A ray of light e enters the rectangular block at normal incidence. Depending upon the relationships between \mu1, \mu2 and \mu3, it takes one of the four possible paths 'ef', 'eg', 'eh' or 'ei'. Match the paths in List I with conditions of refractive indices in List II and select the correct answer using the codes given below the lists: List I List II P. e \to f 1. {\mu _1} > \sqrt 2 {\mu _2} Q. e \to g 2. {\mu _2} > {\mu _1} and {\mu _2} > {\mu _3} R. e \to h 3. {\mu _1} = {\mu _2} S. e \to i 4. {\mu _2} < {\mu _1} < \sqrt 2 {\mu _2} and {\mu _2} > {\mu _3}

Options:

A) P-2, Q-3, R-1, S-4

B) P-1, Q-2, R-4, S-3

C) P-4, Q-1, R-2, S-3

D) P-2, Q-3, R-4, S-1

EasyJee Advance2013

The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is real and is one-third the size of the object. The wavelength of light inside the lens is ${2 \over 3}$ times the wavelength in free space. The radius of the curved surface of the lens is

Options:

A) 1 m

B) 2 m

C) 3 m

D) 6 m

EasyJee Advance2013

A ray of light travelling in the direction ${1 \over 2}\left( {\widehat i + \sqrt 3 \widehat j} \right) is incident on a plane mirror. After reflection, it travels along the direction {1 \over 2}\left( {\widehat i - \sqrt 3 \widehat j} \right)$. The angle of incidence is

Options:

A) 30$^\circ

B) 45$^\circ

C) 60$^\circ

D) 75$^\circ

EasyJee Advance2012

Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurring material, then by Snell's law, ${{\sin {\theta _1}} \over {\sin {\theta _2}}} = {{{n_2}} \over {{n_1}}}, it is understood that the refracted ray bends towards the normal. But it never emerges on the same side of the normal as the incident ray. According to electromagnetism, the refractive index of the medium is given by the relation n = \left( {{c \over v}} \right) = \pm \,\sqrt {{\varepsilon _r}{\mu _r}} , where c is the speed of electromagnetic waves in vacuum, v its speed in the medium, \varepsilon r and \mur, are the relative permittivity and permeability of the medium, respectively. In normal materials, both \varepsilonr and \mur , are positive, implying positive n for the medium. When both \varepsilonr and \mu$r are negative, one must choose the negative root of n. Such negative refractive index materials can now be artificially prepared and are called meta-materials. They exhibit significantly different optical behaviour, without violating and physical laws. Since n is negative, it results in a change in the direction of propagation of the refracted light. However, similar to normal materials, the frequency of light remains unchanged upon refraction even in meta-materials.

Options:

EasyJee Advance2012

Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurring material, then by Snell's law, ${{\sin {\theta _1}} \over {\sin {\theta _2}}} = {{{n_2}} \over {{n_1}}}, it is understood that the refracted ray bends towards the normal. But it never emerges on the same side of the normal as the incident ray. According to electromagnetism, the refractive index of the medium is given by the relation n = \left( {{c \over v}} \right) = \pm \,\sqrt {{\varepsilon _r}{\mu _r}} , where c is the speed of electromagnetic waves in vacuum, v its speed in the medium, \varepsilon r and \mur, are the relative permittivity and permeability of the medium, respectively. In normal materials, both \varepsilonr and \mur , are positive, implying positive n for the medium. When both \varepsilonr and \mu$r are negative, one must choose the negative root of n. Such negative refractive index materials can now be artificially prepared and are called meta-materials. They exhibit significantly different optical behaviour, without violating and physical laws. Since n is negative, it results in a change in the direction of propagation of the refracted light. However, similar to normal materials, the frequency of light remains unchanged upon refraction even in meta-materials.

Options:

A) The speed of light in the meta-material is v = c|n|.

B) The speed of light in the meta-material is $v = {c \over {|n|}}$.

C) The speed of light in the meta-material is v = c.

D) The wavelength of the light in the meta-material ($\lambdam) is given by {\lambda _m} = {\lambda _{air}}|n|, where {\lambda _{air}}$ is wavelength of the light in air.

MediumJee Advance2012

A biconvex lens is formed with two planoconvex lenses as shown in the figure. Refractive index n of the first lens is 1.5 and that of the second lens is 1.2. Both curved surface are of the same radius of curvature R = 14 cm. For this biconvex lens, for an object distance of 40 cm, the image distance will be

Options:

A) -$280.0 cm

B) 40.0 cm

C) 21.5 cm

D) 13.3 cm

MediumJee Advance2010

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is

Options:

A) virtual and at a distance of 16 cm from the mirror.

B) real and at a distance of 16 cm from the mirror.

C) virtual and at a distance of 20 cm from the mirror.

D) real and at a distance of 20 cm from the mirror.

HardJee Advance2010

Two transparent media of refractive indices \mu_1 and \mu_3 have a solid lens shaped transparent material of refractive index \mu_2 between them as shown in figures in Column II. A ray traversing these media is also shown in the figures. In Column I different relationships between \mu_1, \mu_2 and \mu_3 are given. Match them to the ray diagram shown in Column II :

Options:

A) (A)→(P), (R); (B)→(Q), (S), (T); (C)→(P), (R), (T); (D)→(Q), (S)

B) (A)→(R); (B)→(Q), (S); (C)→(P), (R), (T); (D)→(Q), (S)

C) (A)→(P), (R); (B)→(S), (T); (C)→(P), (R); (D)→(Q), (S)

D) (A)→(P); (B)→(Q), (S), (T); (C)→(P), (T); (D)→(Q)

MediumJee Advance2009

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m above the water surface, the fish sees the speed of ball as (Take g = 10 m/s$^2$)

Options:

A) 9 m/s

B) 12 m/s

C) 16 m/s

D) 21.33 m/s

MediumJee Advance2008

A light beam is travelling from Region I to Region IV (Refer figure). The refractive index in Regions I, II, III and IV are ${n_0},{{{n_0}} \over 2},{{{n_0}} \over 6} and {{{n_0}} \over 8}, respectively. The angle of incidence \theta$ for which the beam just misses entering Region IV is

Options:

A) {\sin ^{ - 1}}\left( {{3 \over 4}} \right)

B) {\sin ^{ - 1}}\left( {{1 \over 8}} \right)

C) {\sin ^{ - 1}}\left( {{1 \over 4}} \right)

D) {\sin ^{ - 1}}\left( {{1 \over 3}} \right)

MediumJee Advance2008

An optical component and an object S placed along its optic axis are given in Column I. The distance between the object and the component can be varied. The properties of images are given in Column II. Match all the properties of images from Column II with the appropriate components given in Column I. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4 matrix given in the ORS. Column I Column II (A) (P) Real Image (B) (Q) Virtual Image (C) (R) Magnified Image (D) (S) Image at infinity

Options:

A) A$\to(P, Q, R); B\to(Q); C\to(P, R, S); D\to$(P, Q, R, S)

B) A$\to(P, Q, R, S); B\to(Q); C\to(P, Q, R, S); D\to$(P, Q, R, S)

C) A$\to(P, Q, R); B\to(Q); C\to(P, R, S); D\to$(P, Q, S)

D) A$\to(P, Q); B\to(Q); C\to(R, S); D\to$(P, Q, R, S)

EasyJee Advance2008

Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60$^\circ$). In the position of minimum deviation, the angle of refraction will be :

Options:

A) 30$^\circ$ for both the colours

B) greater for the violet colour

C) greater for the red colour

D) equal but not 30$^\circ$ for both the colours

EasyJee Advance2007

The figure shows surface XY separating two transparent media, medium -1 and medium -2 . The lines ab and cd represent wavefronts of a light wave traveling in medium -1 and incident on X Y. The lines ef and gh represent wavefronts of the light wave in medium -2 after refraction.

Options:

A) parallel beam in each medium

B) convergent beam in each medium

C) divergent beam in each medium

D) divergent beam in one medium and convergent beam in the other medium.

MediumJee Advance2007

The figure shows surface XY separating two transparent media, medium -1 and medium -2 . The lines ab and cd represent wavefronts of a light wave traveling in medium -1 and incident on X Y. The lines ef and gh represent wavefronts of the light wave in medium -2 after refraction.

Options:

A) \phi_{c} cannot be equal to \phi_{d}

B) \phi_{d} can be equal to \phi_{c}

C) \left(\phi_{d}-\phi_{f}\right) is equal to \left(\phi_{c}-\phi_{e}\right)

D) \left(\phi_{d}-\phi_{c}\right) is not equal to \left(\phi_{f}-\phi_{e}\right)

MediumJee Advance2007

In an experiment to determine the focal length (f) of a concave mirror by the u-v method, a student places the object pin A on the principal axis at a distance x form the pole P. The student looks at the pin and its inverted image form a distance keeping his/her eye in line with PA. When the student shifts his/her eye towards left, the image appears to the right, oh the object pin. Then,

Options:

A) x < f

B) f < x < 2f

C) x = 2f

D) x > 2f

MediumJee Advance2007

A ray of light travelling in water in incident on its surface open to air. The angle of incidence is $\theta$, which is less than the critical angle. Then there will be

Options:

A) only a reflected ray and no refracted ray

B) only a refracted ray and no reflected ray

C) a reflected ray and a refracted ray and the angle between them would be less than 180$^\circ - 2\theta

D) a reflected ray and the angle between them would be greater than 180$^\circ - 2\theta

MediumJee Advance2007

Statement 1 : The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature. Statement 2 : Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.

Options:

A) Statement 1 is True, Statement 2 is True, Statement 2 is a CORRECT explanation for Statement 1

B) Statement 1 is True, Statement 2 is True, Statement 2 is NOT a CORRECT explanation for Statement 1

C) Statement 1 is True, Statement 2 is False

D) Statement 1 is False, Statement 2 is True

MediumJee Advance2006

A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm , if the plane surface is silvered. The image will form at

Options:

A) 60 cm left of AB

B) 30 cm left of A B

C) 12 cm left of AB

D) 60 cm right of AB

MediumJee Advance2006

A biconvex lens of focal length f forms a circular image of sun of radius r in focal plane. Then

Options:

A) \pi r^2 \propto f.

B) \pi r^2 \propto f^2.

C) if the lower half part is covered by black sheet, then the area of the image is equal to \frac{\pi r^2}{2}.

D) if f is doubled intensity will increase.

MediumJee Advance2006

Graph of position of image versus position of point object from a convex lens is shown. Then, the focal length of the lens is

Options:

A) 0.50 \pm 0.05 \mathrm{~cm}

B) 0.50 \pm 0.10 \mathrm{~cm}

C) 5.00 \pm 0.05 \mathrm{~cm}

D) 5.00 \pm 0.10 \mathrm{~cm}

MediumJee Advance2006

A simple telescope used to view distant objects has eyepiece and objective lens of focal lengths f_e and f_0, respectively. Match Column I with Column II: Column I Column II (A) Intensity of light received by lens. (P) Radius of aperture(R). (B) Angular magnification. (Q) Dispersion of lens. (C) Length of telescope. (R) Focal length f_0, f_e. (D) Sharpness of image. (S) Spherical aberration.

Options:

A) [\mathrm{A} \rightarrow(\mathrm{P}) ; \mathrm{B} \rightarrow(\mathrm{R}) ; \mathrm{C} \rightarrow(\mathrm{R}) ; \mathrm{D} \rightarrow(\mathrm{P}, \mathrm{Q})]

B) [\mathrm{A} \rightarrow(\mathrm{P}) ; \mathrm{B} \rightarrow(\mathrm{R}) ; \mathrm{C} \rightarrow(\mathrm{R}) ; \mathrm{D} \rightarrow(\mathrm{P}, \mathrm{Q}, \mathrm{~S})]

C) [\mathrm{A} \rightarrow(\mathrm{R}) ; \mathrm{B} \rightarrow(\mathrm{P}) ; \mathrm{C} \rightarrow(\mathrm{R}) ; \mathrm{D} \rightarrow( \mathrm{Q}, \mathrm{~S})]

D) [\mathrm{A} \rightarrow(\mathrm{P}) ; \mathrm{B} \rightarrow(\mathrm{R}) ; \mathrm{C} \rightarrow(\mathrm{S}) ; \mathrm{D} \rightarrow( \mathrm{Q})]

MediumJee Advance2005

What will be the minimum angle of incidence such that the total internal reflection occurs on both the surfaces?

Options:

A) 30$^\circ

B) 45$^\circ

C) 50$^\circ

D) 60$^\circ

MediumJee Advance2005

Two identical prisms of refractive index $\sqrt{3}$ are kept as shown in the figure. A light ray strikes the first prism at face AB. Find (A) the angle of incidence so that the emergent ray from the first prism has minimum deviation; (B) through what angle, the prism DCE should be rotated about C so that the final emergent ray also has minimum deviation?

Options:

A) (A) = 45$^\circ, (B) = 60^\circ

B) (A) = 60$^\circ, (B) = 45^\circ

C) (A) = 45$^\circ, (B) = 45^\circ

D) (A) = 60$^\circ, (B) = 60^\circ

MediumJEE Mains2014

A ray of light is incident from a denser to a rarer medium. The critical angle for total internal reflection is $\theta iC and the Brewster's angle of incidence is \theta iB, such that sin\theta iC/sin\theta iB = \eta $ = 1.28. The relative refractive index of the two media is :

Options:

A) 0.2

B) 0.4

C) 0.8

D) 0.9

MediumJEE Mains2026

A biconvex lens is formed by using two thin planoconvex lenses, as shown in the figure. The refractive index and radius of curved surfaces are also mentioned in figure. When an object is placed on the left side of lens at a distance of 30 cm from the biconvex lens, the magnification of the image will be :

Options:

A) −2

B) −2.5

C) +2.5

D) +2

MediumJEE Mains2026

For a transparent prism, if the angle of minimum deviation is equal to its refracting angle, the refractive index n of the prism satisfies.

Options:

A) n \geq 2

B) \sqrt{2} < n < 2

C) 1 < n < 2

D) \sqrt{2}<n<2\sqrt{2}

MediumJEE Mains2026

The magnitudes of power of a biconvex lens (refractive index 1.5) and that of a plano-concave lens (refractive index =1.7 ) are same. If the curvature of planoconcave lens exactly matches with the curvature of back surface of the biconvex lens, then ratio of radius of curvature of front and back surface of the biconvex lens is \_\_\_\_

Options:

A) 2 : 5

B) 5: 2

C) 12: 5

D) 5: 12

EasyJEE Mains2026

Distance between an object and three times magnified real image is 40 cm . The focal length of the mirror used is \_\_\_\_ cm .

Options:

A) -20

B) -15 / 2

C) -10

D) -15

MediumJEE Mains2026

Five persons P_1, P_2, P_3, P_4 and P_5 recorded object distance (u) and image distance (v) using same convex lens having power +5 D as (25,96),(30,62),(35,37),(45,35) and (50,32) respectively. Identify correct statement

Options:

A) Readings recorded by P_3 and P_2 persons are incorrect

B) Readings recorded by all persons are correct

C) Readings recorded by P_3 person are incorrect

D) Readings recorded by P_4 and P_5 persons are incorrect

EasyJEE Mains2026

The exit surface of a prism with refractive index n is coated with a material having refractive index \frac{n}{2}. When this prism is set for minimum angle of deviation, it exactly meets the condition of critical angle. The prism angle is \_\_\_\_ .

Options:

A) 60^{\circ}

B) 30^{\circ}

C) 15^{\circ}

D) 45^{\circ}

MediumJEE Mains2026

An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and 2 \sqrt{3} (medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is \_\_\_\_

Options:

A) 45^{\circ}

B) 60^{\circ}

C) 10^{\circ}

D) 30^{\circ}

MediumJEE Mains2026

In a microscope of tube length 10 cm two convex lenses are arranged with focal length of 2 cm and 5 cm . Total magnification obtained with this system for normal adjustment is (5)^k. The value of k is \_\_\_\_ .

Options:

A) 4

B) 5

C) 2

D) 3.5

MediumJEE Mains2026

A thin prism with angle 5^{\circ} of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion without deviation. The angle of second prism is \_\_\_\_ .

Options:

A) 5^{\circ}

B) 4^{\circ}

C) 4.5^{\circ}

D) 6^{\circ}

MediumJEE Mains2026

Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total internal reflection during its travel from medium A to B and the speed of light in media A and B are 2.4 \times 10^8 \mathrm{~m} / \mathrm{s} and 2.7 \times 10^8 \mathrm{~m} / \mathrm{s}, respectively, then the value of critical angle is :

Options:

A) \cos ^{-1}\left(\frac{8}{9}\right)

B) \sin ^{-1}\left(\frac{9}{8}\right)

C) \cot ^{-1}\left(\frac{3}{\sqrt{13}}\right)

D) \tan ^{-1}\left(\frac{8}{\sqrt{17}}\right)

EasyJEE Mains2026

In parallax method for the determination of focal length of a concave mirror, the object should always be placed:

Options:

A) between the focus (F) and the centre of curvature (C) of the mirror ONLY

B) between the pole (P) and the focus (F) of the concave mirror ONLY

C) at any point beyond the focus (F) of the mirror

D) beyond the centre of the curvature (C) of the mirror ONLY

MediumJEE Mains2026

A thin convex lens of focal length 5 cm and a thin concave lens of focal length 4 cm are combined together (without any gap) and this combination has magnification m_1 when an object is placed 10 cm before the convex lens. Keeping the positions of convex lens and object undisturbed a gap of 1 cm is introduced between the lenses by moving the concave lens away, which lead to a change in magnification of total lens system to m_2. The value of \left|\frac{m_1}{m_2}\right| is \_\_\_\_ .

Options:

A) \frac{25}{27}

B) \frac{5}{6}

C) \frac{5}{27}

D) \frac{3}{2}

MediumJEE Mains2026

Consider an equilateral prism (refractive index \sqrt{2} ). A ray of light is incident on its one surface at a certain angle i. If the emergent ray is found to graze along the other surface then the angle of refraction at the incident surface is close to \_\_\_\_

Options:

A) 30^{\circ}

B) 20^{\circ}

C) 40^{\circ}

D) 15^{\circ}

MediumJEE Mains2026

As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes along the second surface.If refractive index of the material of prism is \sqrt{2}, the angle \theta of prism is.

Options:

A) 75^{\circ}

B) 90^{\circ}

C) 60^{\circ}

D) 45^{\circ}

EasyJEE Mains2025

A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20 cm. An object is placed at 20 cm to the left of this lens system. The distance of the image from the lens in cm is ________.

Options:

A) \frac{60}{7}

B) 15

C) 45

D) 30

MediumJEE Mains2025

A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20 cm, respectively. The concave surface is upwards and is filled with a liquid of refractive index 1.3. The focal length of the liquid-glass combination will be

Options:

A) \frac{700}{11} cm

B) \frac{600}{11} cm

C) \frac{800}{11} cm

D) \frac{500}{11} cm

EasyJEE Mains2025

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A): Refractive index of glass is higher than that of air.Reason (R): Optical density of a medium is directly proportionate to its mass density which results in a proportionate refractive index.In the light of the above statements, choose the most appropriate answer from the options given below:

Options:

A) Both (A) and (R) are correct and (R) is the correct explanation of (A)

B) (A) is correct but (R) is not correct

C) (A) is not correct but (R) is correct

D) Both (A) and (R) are correct but (R) is not the correct explanation of (A)

EasyJEE Mains2025

A mirror is used to produce an image with magnification of \frac{1}{4}. If the distance between object and its image is 40 cm, then the focal length of the mirror is ________.

Options:

A) 10 cm

B) 12.7 cm

C) 10.7 cm

D) 15 cm

MediumJEE Mains2025

A transparent block A having refractive index \mu = 1.25 is surrounded by another medium of refractive index \mu = 1.0 as shown in the figure. A light ray is incident on the flat face of the block with incident angle \theta as shown in the figure. What is the maximum value of \theta for which light suffers total internal reflection at the top surface of the block?

Options:

A) \tan^{-1}(4/3)

B) \sin^{-1}(3/4)

C) \tan^{-1}(3/4)

D) \cos^{-1}(3/4)

EasyJEE Mains2025

Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is:

Options:

A) 5 D

B) 1 D

C) 20 D

D) 10 D

MediumJEE Mains2025

A lens having refractive index 1.6 has focal length of 12 cm , when it is in air. Find the focal length of the lens when it is placed in water. (Take refractive index of water as 1.28)

Options:

A) 355 mm

B) 655 mm

C) 288 mm

D) 555 mm

MediumJEE Mains2025

A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm . A plane mirror is now placed in such a way that the image produced by both the mirrors coincide with each other. The distance between the two mirrors is :

Options:

A) 45 cm

B) 15 cm

C) 22.5 cm

D) 7.5 cm

100

MediumJEE Mains2025

When an object is placed 40 cm away from a spherical mirror an image of magnification \frac{1}{2} is produced. To obtain an image with magnification of \frac{1}{3}, the object is to be moved :

Options:

A) 20 cm away from the mirror.

B) 20 cm towards the mirror.

C) 80 cm away from the mirror.

D) 40 cm away from the mirror.

101

MediumJEE Mains2025

Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray inside prism becomes parallel to the base. B. Larger angle prisms provide smaller angle of minimum deviation. C. Angle of incidence and angle of emergence becomes equal. D. There are always two sets of angle of incidence for which deviation will be same except at minimum deviation setting. E. Angle of refraction becomes double of prism angle. Choose the correct answer from the options given below :

Options:

A) A, B and E Only

B) B, C and D Only

C) B, D and E Only

D) A, C and D Only

102

EasyJEE Mains2025

The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens is 12 cm . The refractive index of the lens material is

Options:

A) 1.4

B) 1.8

C) 1.5

D) 1.2

103

EasyJEE Mains2025

Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12 cm , at same distance of 18 cm from the respective mirrors. The ratio of sizes of the images formed by convex mirror and by concave mirror is :

Options:

A) 2

B) 1 / 2

C) 1 / 3

D) 3

104

MediumJEE Mains2025

A bi-convex lens has radius of curvature of both the surfaces same as 1 / 6 \mathrm{~cm}. If this lens is required to be replaced by another convex lens having different radii of curvatures on both sides \left(R_1 \neq R_2\right), without any change in lens power then possible combination of R_1 and R_2 is :

Options:

A) \frac{1}{3} \mathrm{~cm} and \frac{1}{7} \mathrm{~cm}

B) \frac{1}{5} \mathrm{~cm} and \frac{1}{7} \mathrm{~cm}

C) \frac{1}{3} \mathrm{~cm} and \frac{1}{3} \mathrm{~cm}

D) \frac{1}{6} \mathrm{~cm} and \frac{1}{9} \mathrm{~cm}

105

MediumJEE Mains2025

A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image of an object ' O ', is : ( C is the center of curvature of the spherical surface and R is the radius of curvature)

Options:

A) 0.24 m left to the spherical surface

B) 0.24 m right to the spherical surface

C) 0.4 m left to the spherical surface

D) 0.4 m right to the spherical surface

106

MediumJEE Mains2025

A slanted object A B is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side. Angle made by the image with principal axis is :

Options:

A) -\alpha

B) -\frac{\alpha}{2}

C) -45^{\circ}

D) +45^{\circ}

107

MediumJEE Mains2025

A convex lens made of glass (refractive index = 1.5) has focal length 24 cm in air. When it is totally immersed in water (refractive index = 1.33), its focal length changes to

Options:

A) 96 cm

B) 72 cm

C) 24 cm

D) 48 cm

108

MediumJEE Mains2025

Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B. The separation between the images of O, formed by each refracting surface is :

Options:

A) 0.124R

B) 0.114R

C) 0.411R

D) 0.214R

109

MediumJEE Mains2025

Two identical symmetric double convex lenses of focal length f are cut into two equal parts L1, L2 by AB plane and L3, L4 by XY plane as shown in figure respectively. The ratio of focal lengths of lenses L1 and L3 is

Options:

A) 1 : 2

B) 1 : 1

C) 2 : 1

D) 1 : 4

110

MediumJEE Mains2025

Let u and v be the distances of the object and the image from a lens of focal length f. The correct graphical representation of u and v for a convex lens when |u| > f, is

Options:

111

MediumJEE Mains2025

A concave mirror produces an image of an object such that the distance between the object and image is 20 cm. If the magnification of the image is –3, then the magnitude of the radius of curvature of the mirror is :

Options:

A) 3.75 cm

B) 15 cm

C) 7.5 cm

D) 30 cm

112

MediumJEE Mains2025

In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus towards A . If an object placed at 13 cm from the vertex of the meniscus in A forms an image with a magnification of { }^{\prime}-2^{\prime} then the radius of curvature of meniscus is :

Options:

A) \frac{2}{3} \text{ cm}

B) \frac{4}{3} \text{ cm}

C) \frac{1}{3} \text{ cm}

D) 1 cm

113

MediumJEE Mains2025

A thin prism \mathrm{P}_1 with angle 4^{\circ} made of glass having refractive index 1.54 , is combined with another thin prism \mathrm{P}_2 made of glass having refractive index 1.72 to get dispersion without deviation. The angle of the prism \mathrm{P}_2 in degrees is

Options:

A) 1.5

B) 16/3

C) 3

D) 4

114

MediumJEE Mains2025

A hemispherical vessel is completely filled with a liquid of refractive index \mu. A small coin is kept at the lowest point (\mathrm{O}) of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that a person can see the coin from point E (at the level of the vessel) is _________.

Options:

A) \frac{3}{2}

B) \frac{\sqrt{3}}{2}

C) \sqrt{3}

D) \sqrt{2}

115

EasyJEE Mains2025

A photograph of a landscape is captured by a drone camera at a height of 18 km . The size of the camera film is 2 \mathrm{~cm} \times 2 \mathrm{~cm} and the area of the landscape photographed is 400 \mathrm{~km}^2. The focal length of the lens in the drone camera is :

Options:

A) 2.8 cm

B) 0.9 cm

C) 2.5 cm

D) 1.8 cm

116

EasyJEE Mains2025

What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D from 2.5D ? ['D' stands for dioptre]

Options:

A) 0.04

B) 0.1

C) 0.40

D) 0.01

117

MediumJEE Mains2025

A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.2. When the plane side of the lens is silver coated for complete reflection, the lens immersed in the liquid behaves like a concave mirror of focal length 0.2 m . The radius of curvature of the curved surface of the lens is

Options:

A) 0.15 m

B) 0.10 m

C) 0.25 m

D) 0.20 m

118

MediumJEE Mains2025

A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of f_1 in air. Another plano-convex lens with first surface radius of curvature 3 cm has focal length of f_2 when it is immersed in a liquid of refractive index 1.2. If both the lenses are made of same glass of refractive index 1.5 , the ratio of f_1 and f_2 will be

Options:

A) 2: 3

B) 1: 3

C) 1: 2

D) 3: 5

119

EasyJEE Mains2025

A concave mirror of focal length f in air is dipped in a liquid of refractive index \mu. Its focal length in the liquid will be:

Options:

A) \mu f

B) f

C) \frac{f}{\mu}

D) \frac{f}{(\mu-1)}

120

MediumJEE Mains2025

The refractive index of the material of a glass prism is \sqrt{3}. The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?

Options:

A) 60^{\circ}

B) 50^{\circ}

C) 58^{\circ}

D) 48^{\circ}

121

MediumJEE Mains2025

What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' h ' in terms of the angle of incidence ' i ' and angle of refraction ' r ', if the glass slab is placed in air medium?

Options:

A) \mathrm{h}

B) \frac{h \cos (i-r)}{\sin r}

C) \frac{\mathrm{h} \tan (\mathrm{i}-\mathrm{r})}{\tan \mathrm{r}}

D) \frac{h \sin (i-r)}{\cos r}

122

MediumJEE Mains2025

A spherical surface of radius of curvature R, separates air from glass (refractive index =1.5 ). The centre of curvature is in the glass medium. A point object ' O ' placed in air on the optic axis of the surface, so that its real image is formed at 'I' inside glass. The line OI intersects the spherical surface at P and P O=P I. The distance P O equals to

Options:

A) 5R

B) 2R

C) 1.5R

D) 3R

123

MediumJEE Mains2025

Given a thin convex lens (refractive index \mu_2 ), kept in a liquid (refractive index \mu_1, \mu_1<\mu_2 ) having radii of curvatures \left|R_1\right| and \left|R_2\right|. Its second surface is silver polished. Where should an object be placed on the optic axis so that a real and inverted image is formed at the same place?

Options:

A) \frac{\left(\mu_2+\mu_1\right)\left|R_1\right|}{\left(\mu_2-\mu_1\right)}

B) \frac{\mu_1\left|\mathrm{R}_1\right| \cdot\left|\mathrm{R}_2\right|}{\mu_2\left(2\left|\mathrm{R}_1\right|+\left|\mathrm{R}_2\right|\right)-\mu_1 \sqrt{\left|\mathrm{R}_1\right| \cdot\left|\mathrm{R}_2\right|}}

C) \frac{\mu_1\left|R_1\right| \cdot\left|R_2\right|}{\mu_2\left(\left|R_1\right|+\left|R_2\right|\right)-\mu_1\left|R_1\right|}

D) \frac{\mu_1\left|\mathrm{R}_1\right| \cdot\left|\mathrm{R}_2\right|}{\mu_2\left(\left|\mathrm{R}_1\right|+\left|\mathrm{R}_2\right|\right)-\mu_1\left|\mathrm{R}_2\right|}

124

MediumJEE Mains2025

A symmetric thin biconvex lens is cut into four equal parts by two planes A B and C D as shown in figure. If the power of original lens is 4D then the power of a part of the divided lens is

Options:

A) 2D

B) 8D

C) 4D

D) D

125

HardJEE Mains2025

In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them as compared to \left|R_1\right| and \left|R_2\right|, i.e., the radii of curvature for upper and lower surfaces of the glass lens, the power of the combination is

Options:

A) -\frac{1}{6}\left(\frac{1}{\left|\mathrm{R}_1\right|}-\frac{1}{\left|\mathrm{R}_2\right|}\right)

B) -\frac{1}{6}\left(\frac{1}{\left|\mathrm{R}_1\right|}+\frac{1}{\left|\mathrm{R}_2\right|}\right)

C) \frac{1}{6}\left(\frac{1}{\left|\mathrm{R}_1\right|}+\frac{1}{\left|\mathrm{R}_2\right|}\right)

D) \frac{1}{6}\left(\frac{1}{\left|\mathrm{R}_1\right|}-\frac{1}{\left|\mathrm{R}_2\right|}\right)

126

MediumJEE Mains2025

Given is a thin convex lens of glass (refractive index \mu ) and each side having radius of curvature R. One side is polished for complete reflection. At what distance from the lens, an object be placed on the optic axis so that the image gets formed on the object itself?

Options:

A) R / \mu

B) R /(2 \mu-1)

C) \mathrm{R} /(2 \mu-3)

D) \mu \mathrm{R}

127

EasyJEE Mains2024

The following figure represents two biconvex lenses $L_1 and L_2 having focal length 10 \mathrm{~cm} and 15 \mathrm{~cm} respectively. The distance between L_1 & L_2$ is :

Options:

A) 25 cm

B) 35 cm

C) 10 cm

D) 15 cm

128

EasyJEE Mains2024

Given below are two statements : Statement (I) : When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side. Statement (II) : Concave lens always forms a virtual and erect image. In the light of the above statements, choose the correct answer from the options given below :

Options:

A) Statement I is false but Statement II is true

B) Both Statement I and Statement II are false

C) Both Statement I and Statement II are true

D) Statement I is true but Statement II is false

129

MediumJEE Mains2024

The position of the image formed by the combination of lenses is :

Options:

A) 15 \mathrm{~cm}$ (right of second lens)

B) 30 \mathrm{~cm}$ (right of third lens)

C) 30 \mathrm{~cm}$ (left of third lens)

D) 15 \mathrm{~cm}$ (left of second lens)

130

EasyJEE Mains2024

Critical angle of incidence for a pair of optical media is $45^{\circ}$. The refractive indices of first and second media are in the ratio:

Options:

A) 1: 2

B) 1: \sqrt{2}

C) 2: 1

D) \sqrt{2}: 1

131

EasyJEE Mains2024

For the thin convex lens, the radii of curvature are at $15 \mathrm{~cm} and 30 \mathrm{~cm} respectively. The focal length the lens is 20 \mathrm{~cm}$. The refractive index of the material is :

Options:

A) 1.2

B) 1.5

C) 1.4

D) 1.8

132

EasyJEE Mains2024

An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis is $25 \mathrm{D}$. Focal length of each of the convex lens is:

Options:

A) 50 cm

B) 20 cm

C) 25 cm

D) 500 cm

133

MediumJEE Mains2024

In an experiment to measure focal length ($f) of convex lens, the least counts of the measuring scales for the position of object (u) and for the position of image (v) are \Delta u and \Delta v$, respectively. The error in the measurement of the focal length of the convex lens will be:

Options:

A) 2 f\left[\frac{\Delta \mathrm{u}}{\mathrm{u}}+\frac{\Delta \mathrm{v}}{\mathrm{v}}\right]

B) f\left[\frac{\Delta \mathrm{u}}{\mathrm{u}}+\frac{\Delta \mathrm{v}}{\mathrm{v}}\right]

C) f^2\left[\frac{\Delta \mathrm{u}}{\mathrm{u}^2}+\frac{\Delta \mathrm{v}}{\mathrm{v}^2}\right]

D) \frac{\Delta \mathrm{u}}{\mathrm{u}}+\frac{\Delta \mathrm{v}}{\mathrm{v}}

134

MediumJEE Mains2024

The refractive index of a prism with apex angle $A is \cot A / 2$. The angle of minimum deviation is :

Options:

A) \delta_m=180^{\circ}-3 \mathrm{~A}

B) \delta_m=180^{\circ}-4 A

C) \delta_m=180^{\circ}-2 A

D) \delta_m=180^{\circ}-A

135

MediumJEE Mains2024

If the distance between object and its two times magnified virtual image produced by a curved mirror is $15 \mathrm{~cm}$, the focal length of the mirror must be:

Options:

A) -10$ cm

B) -12$ cm

C) 15 cm

D) 10/3 cm

136

EasyJEE Mains2024

A convex mirror of radius of curvature $30 \mathrm{~cm}$ forms an image that is half the size of the object. The object distance is :

Options:

A) -$45 cm

B) -$15 cm

C) 45 cm

D) 15 cm

137

MediumJEE Mains2024

A biconvex lens of refractive index 1.5 has a focal length of $20 \mathrm{~cm}$ in air. Its focal length when immersed in a liquid of refractive index 1.6 will be:

Options:

A) -$16 cm

B) +16 cm

C) +160 cm

D) -$160 cm

138

EasyJEE Mains2024

If the refractive index of the material of a prism is $\cot \left(\frac{A}{2}\right), where A$ is the angle of prism then the angle of minimum deviation will be

Options:

A) \pi-2 \mathrm{~A}

B) \frac{\pi}{2}-2 \mathrm{~A}

C) \pi-\mathrm{A}

D) \frac{\pi}{2}-\mathrm{A}

139

EasyJEE Mains2024

Identify the physical quantity that cannot be measured using spherometer :

Options:

A) Radius of curvature of concave surface

B) Specific rotation of liquids

C) Thickness of thin plates

D) Radius of curvature of convex surface

140

EasyJEE Mains2024

A convex lens of focal length $40 \mathrm{~cm} forms an image of an extended source of light on a photoelectric cell. A current I is produced. The lens is replaced by another convex lens having the same diameter but focal length 20 \mathrm{~cm}$. The photoelectric current now is :

Options:

A) \mathrm{\frac{I}{2}}

B) 4 I

C) 2 I

D) I

141

MediumJEE Mains2023

A vessel of depth '$d' is half filled with oil of refractive index n_{1} and the other half is filled with water of refractive index n_{2}$. The apparent depth of this vessel when viewed from above will be-

Options:

A) \frac{2 d\left(n_{1}+n_{2}\right)}{n_{1} n_{2}}

B) \frac{d\left(n_{1}+n_{2}\right)}{2 n_{1} n_{2}}

C) \frac{d n_{1} n_{2}}{2\left(n_{1}+n_{2}\right)}

D) \frac{d n_{1} n_{2}}{\left(n_{1}+n_{2}\right)}

142

MediumJEE Mains2023

An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is $12 \mathrm{~cm}. When viewed from the opposite side, the apparent distance of the bubble is observed as 4 \mathrm{~cm}. If the side of the ice cube is 24 \mathrm{~cm}$, the refractive index of the ice cube is

Options:

A) \frac{3}{2}

B) \frac{4}{3}

C) \frac{2}{3}

D) \frac{6}{5}

143

EasyJEE Mains2023

When one light ray is reflected from a plane mirror with $30^{\circ}$ angle of reflection, the angle of deviation of the ray after reflection is :

Options:

A) 140^{\circ}

B) 130^{\circ}

C) 120^{\circ}

D) 110^{\circ}

144

EasyJEE Mains2023

The critical angle for a denser-rarer interface is $45^{\circ}. The speed of light in rarer medium is 3 \times 10^{8} \mathrm{~m} / \mathrm{s}$. The speed of light in the denser medium is:

Options:

A) 2 .12 \times 10^{8} \mathrm{~m} / \mathrm{s}

B) 5 \times 10^{7} \mathrm{~m} / \mathrm{s}

C) \sqrt{2} \times 10^{8} \mathrm{~m} / \mathrm{s}

D) 3.12 \times 10^{7} \mathrm{~m} / \mathrm{s}

145

EasyJEE Mains2023

An object is placed at a distance of 12 cm in front of a plane mirror. The virtual and erect image is formed by the mirror. Now the mirror is moved by 4 cm towards the stationary object. The distance by which the position of image would be shifted, will be

Options:

A) 4 cm towards mirror

B) 2 cm towards mirror

C) 8 cm away from mirror

D) 8 cm towards mirror

146

EasyJEE Mains2023

In a reflecting telescope, a secondary mirror is used to:

Options:

A) make chromatic aberration zero

B) remove spherical aberration

C) reduce the problem of mechanical support

D) move the eyepiece outside the telescopic tube

147

MediumJEE Mains2023

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: The phase difference of two light waves change if they travel through different media having same thickness, but different indices of refraction. Reason R: The wavelengths of waves are different in different media. In the light of the above statements, choose the most appropriate answer from the options given below

Options:

A) Both A and R are correct but R is NOT the correct explanation of A

B) A is correct but R is not correct

C) A is not correct but R is correct

D) Both A and R are correct and R is the correct explanation of A

148

MediumJEE Mains2023

A 2 meter long scale with least count of $0.2 \mathrm{~cm} is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at 80 \mathrm{~cm} mark and 1 \mathrm{~m} mark, respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at 180 \mathrm{~cm} mark. The \%$ error in the estimation of focal length is:

Options:

A) 1.70

B) 0.51

C) 1.02

D) 0.85

149

EasyJEE Mains2023

A monochromatic light wave with wavelength $\lambda_{1} and frequency v_{1} in air enters another medium. If the angle of incidence and angle of refraction at the interface are 45^{\circ} and 30^{\circ} respectively, then the wavelength \lambda_{2} and frequency v_{2}$ of the refracted wave are:

Options:

A) \lambda_{2}=\lambda_{1}, v_{2}=\frac{1}{\sqrt{2}} v_{1}

B) \lambda_{2}=\lambda_{1}, v_{2}=\sqrt{2} v_{1}

C) \lambda_{2}=\sqrt{2} \lambda_{1}, v_{2}=v_{1}

D) \lambda_{2}=\frac{1}{\sqrt{2}} \lambda_{1}, v_{2}=v_{1}

150

EasyJEE Mains2023

Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm. The distance between images formed by the mirror is _______________.

Options:

A) 60 cm

B) 40 cm

C) 160 cm

D) 100 cm

151

EasyJEE Mains2023

A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index \frac{5}{3} is poured inside the bucket, then the microscope has to be raised by 30 \mathrm{~cm} to focus the object again. The height of the liquid in the bucket is :

Options:

A) 50 \mathrm{~cm}

B) 18 \mathrm{~cm}

C) 75 \mathrm{~cm}

D) 12 \mathrm{~cm}

152

MediumJEE Mains2023

A thin prism P_1 with an angle 6^{\circ} and made of glass of refractive index 1.54 is combined with another prism P_2 made from glass of refractive index 1.72 to produce dispersion without average deviation. The angle of prism P_2 is

Options:

A) 4.5^{\circ}

B) 7.8^{\circ}

C) 1.3^{\circ}

D) 6^{\circ}

153

EasyJEE Mains2023

A person has been using spectacles of power $-1.0 dioptre for distant vision and a separate reading glass of power 2.0$ dioptres. What is the least distance of distinct vision for this person :

Options:

A) 50 cm

B) 40 cm

C) 30 cm

D) 10 cm

154

EasyJEE Mains2023

A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving power he should. (Select the best option)

Options:

A) Decrease the focal length of the eye piece.

B) Increase the wave length of the light

C) Increase the refractive index of the medium between the object and objective lens

D) Decrease the diameter of the objective lens

155

EasyJEE Mains2023

The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are :- A. Real B. Erect C. Smaller in size then object D. Laterally inverted Choose the most appropriate answer from the options given below :

Options:

A) B and D only

B) A, C, and D only

C) A and D only

D) B and C only

156

EasyJEE Mains2023

When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is called :

Options:

A) Spherical aberration

B) Scattering

C) Polarisation

D) Chromatic aberration

157

EasyJEE Mains2022

Light enters from air into a given medium at an angle of $45^{\circ} with interface of the air-medium surface. After refraction, the light ray is deviated through an angle of 15^{\circ}$ from its original direction. The refractive index of the medium is:

Options:

A) 1.732

B) 1.333

C) 1.414

D) 2.732

158

MediumJEE Mains2022

The power of a lens (biconvex) is $1.25 \mathrm{~m}^{-1} in particular medium. Refractive index of the lens is 1.5 and radii of curvature are 20 \mathrm{~cm} and 40 \mathrm{~cm}$ respectively. The refractive index of surrounding medium:

Options:

A) 1.0

B) \frac{9}{7}

C) \frac{3}{2}

D) \frac{4}{3}

159

EasyJEE Mains2022

As shown in the figure, after passing through the medium 1 . The speed of light $v_{2} in medium 2 will be : \left(\right. Given \mathrm{c}=3 \times 10^{8} \mathrm{~ms}^{-1}$ )

Options:

A) 1.0 \times 10^{8} \mathrm{~ms}^{-1}

B) 0.5 \times 10^{8} \mathrm{~ms}^{-1}

C) 1.5 \times 10^{8} \mathrm{~ms}^{-1}

D) 3.0 \times 10^{8} \mathrm{~ms}^{-1}

160

EasyJEE Mains2022

In normal adujstment, for a refracting telescope, the distance between objective and eye piece is $30 \mathrm{~cm}$. The focal length of the objective, when the angular magnification of the telescope is 2 , will be :

Options:

A) 20 cm

B) 30 cm

C) 10 cm

D) 15 cm

161

MediumJEE Mains2022

A microscope was initially placed in air (refractive index 1). It is then immersed in oil (refractive index 2). For a light whose wavelength in air is $\lambda$, calculate the change of microscope's resolving power due to oil and choose the correct option.

Options:

A) Resolving power will be $\frac{1}{4}$ in the oil than it was in the air.

B) Resolving power will be twice in the oil than it was in the air.

C) Resolving power will be four times in the oil than it was in the air.

D) Resolving power will be $\frac{1}{2}$ in the oil than it was in the air.

162

EasyJEE Mains2022

Light travels in two media $M_{1} and M_{2} with speeds 1.5 \times 10^{8} \mathrm{~ms}^{-1} and 2.0 \times 10^{8} \mathrm{~ms}^{-1}$ respectively. The critical angle between them is :

Options:

A) \tan ^{-1}\left(\frac{3}{\sqrt{7}}\right)

B) \tan ^{-1}\left(\frac{2}{3}\right)

C) \cos ^{-1}\left(\frac{3}{4}\right)

D) \sin ^{-1}\left(\frac{2}{3}\right)

163

MediumJEE Mains2022

For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at a distance 12 cm from the lens. A glass plate of refractive index 1.5 and thickness 1 cm is introduced between lens and screen such that the glass plate plane faces parallel to the screen. By what distance should the object be shifted so that a sharp focused image is observed again on the screen?

Options:

A) 0.8 m

B) 3.2 m

C) 1.2 m

D) 5.6 m

164

EasyJEE Mains2022

Which of the following statement is correct?

Options:

A) In primary rainbow, observer sees red colour on the top and violet on the bottom

B) In primary rainbow, observer sees violet colour on the top and red on the bottom

C) In primary rainbow, light wave suffers total internal reflection twice before coming out of water drops.

D) Primary rainbow is less bright than secondary rainbow.

165

MediumJEE Mains2022

Time taken by light to travel in two different materials $A and B of refractive indices \mu_{A} and \mu_{B} of same thickness is t_{1} and t_{2} respectively. If t_{2}-t_{1}=5 \times 10^{-10} s and the ratio of \mu_{A} to \mu_{B} is 1: 2. Then, the thickness of material, in meter is: (Given v_{\mathrm{A}} and v_{\mathrm{B}} are velocities of light in A and B$ materials respectively.)

Options:

A) 5 \times 10^{-10} \,v_{\mathrm{A}}\, \mathrm{m}

B) 5 \times 10^{-10} \mathrm{~m}

C) 1.5 \times 10^{-10} \mathrm{~m}

D) 5 \times 10^{-10} \,v_{\mathrm{B}} \,\mathrm{m}

166

EasyJEE Mains2022

The speed of light in media 'A' and 'B' are $2.0 \times {10^{10}} cm/s and 1.5 \times {10^{10}} cm/s respectively. A ray of light enters from the medium B to A at an incident angle '\theta$'. If the ray suffers total internal reflection, then

Options:

A) \theta = {\sin ^{ - 1}}\left( {{3 \over 4}} \right)

B) \theta > {\sin ^{ - 1}}\left( {{2 \over 3}} \right)

C) \theta < {\sin ^{ - 1}}\left( {{3 \over 4}} \right)

D) \theta > {\sin ^{ - 1}}\left( {{3 \over 4}} \right)

167

MediumJEE Mains2022

The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). Then the angle of minimum deviation will be -

Options:

A) 180 $-$ 2A

B) 90 $-$ A

C) 180 + 2A

D) 180 $-$ 3A

168

EasyJEE Mains2022

The aperture of the objective is 24.4 cm. The resolving power of this telescope, if a light of wavelength 2440 $\mathop A\limits^o $ is used to see th object will be :

Options:

A) 8.1 $\times$ 106

B) 10.0 $\times$ 107

C) 8.2 $\times$ 105

D) 1.0 $\times 10-$8

169

MediumJEE Mains2022

A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect option for the reported pieces.

Options:

A) Power of ${L_1} = {P \over 2}

B) Power of ${L_2} = {P \over 2}

C) Power of ${L_3} = {P \over 2}

D) Power of L1 = P

170

MediumJEE Mains2022

Consider a light ray travelling in air is incident into a medium of refractive index $\sqrt{2n}$. The incident angle is twice that of refracting angle. Then, the angle of incidence will be :

Options:

A) {\sin ^{ - 1}}\left( {\sqrt n } \right)

B) {\cos ^{ - 1}}\left( {\sqrt {{n \over 2}} } \right)

C) {\sin ^{ - 1}}\left( {\sqrt {2n} } \right)

D) 2{\cos ^{ - 1}}\left( {\sqrt {{n \over 2}} } \right)

171

EasyJEE Mains2022

A light wave travelling linearly in a medium of dielectric constant 4, incidents on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be : (Given : relative permeability of medium $\mu$r = 1)

Options:

A) 10$^\circ

B) 20$^\circ

C) 30$^\circ

D) 60$^\circ

172

EasyJEE Mains2022

The difference of speed of light in the two media A and B (vA $- vB) is 2.6 \times 107 m/s. If the refractive index of medium B is 1.47, then the ratio of refractive index of medium B to medium A is : (Given : speed of light in vacuum c = 3 \times 108 ms-$1)

Options:

A) 1.303

B) 1.318

C) 1.13

D) 0.12

173

MediumJEE Mains2021

A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ($\mu$ = 4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled?

Options:

A) 11.7 cm

B) 10 cm

C) 7.5 cm

D) 8.75 cm

174

EasyJEE Mains2021

An object is placed at the focus of concave lens having focal length f. What is the magnification and distance of the image from the optical centre of the lens?

Options:

A) 1, $\infty

B) Very high, $\infty

C) {1 \over 2}, {f \over 2}

D) {1 \over 4}, {f \over 4}

175

MediumJEE Mains2021

Two plane mirrors M1 and M2 are at right angle to each other shown. A point source 'P' is placed at 'a' and '2a' meter away from M1 and M2 respectively. The shortest distance between the images thus formed is : (Take $\sqrt 5 $ = 2.3)

Options:

A) 3a

B) 4.6a

C) 2.3a

D) 2$\sqrt {10} $a

176

MediumJEE Mains2021

Curved surfaces of a plano-convex lens of refractive index $\mu1 and a plano-concave lens of refractive index \mu$2 have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the combined lenses.

Options:

A) {1 \over {{\mu _2} - {\mu _1}}}

B) {\mu _1} - {\mu _2}

C) {1 \over {{\mu _1} - {\mu _2}}}

D) {\mu _2} - {\mu _1}

177

EasyJEE Mains2021

An object is placed beyond the centre of curvature C of the given concave mirror. If the distance of the object is d1 from C and the distance of the image formed is d2 from C, the radius of curvature of this mirror is :

Options:

A) {{2{d_1}{d_2}} \over {{d_1} - {d_2}}}

B) {{2{d_1}{d_2}} \over {{d_1} + {d_2}}}

C) {{{d_1}{d_2}} \over {{d_1} + {d_2}}}

D) {{{d_1}{d_2}} \over {{d_1} - {d_2}}}

178

MediumJEE Mains2021

Find the distance of the image from object O, formed by the combination of lenses in the figure :

Options:

A) 75 cm

B) 10 cm

C) 20 cm

D) infinity

179

MediumJEE Mains2021

Car B overtakes another car A at a relative speed of 40 ms$-$1. How fast will the image of car B appear to move in the mirror of focal length 10 cm fitted in car A, when the car B is 1.9 m away from the car A?

Options:

A) 4 ms$-$1

B) 0.2 ms$-$1

C) 40 ms$-$1

D) 0.1 ms$-$1

180

EasyJEE Mains2021

The expected graphical representation of the variation of angle of deviation '$\delta$' with angle of incidence 'i' in a prism is :

Options:

181

EasyJEE Mains2021

A prism of refractive index $\mu$ and angle of prism A is placed in the position of minimum angle of deviation. If minimum angle of deviation is also A, then in terms of refractive index

Options:

A) 2{\cos ^{ - 1}}\left( {{\mu \over 2}} \right)

B) {\sin ^{ - 1}}\left( {{\mu \over 2}} \right)

C) {\sin ^{ - 1}}\left( {\sqrt {{{\mu - 1} \over 2}} } \right)

D) {\cos ^{ - 1}}\left( {{\mu \over 2}} \right)

182

MediumJEE Mains2021

A ray of light entering from air into a denser medium of refractive index ${4 \over 3}, as shown in figure. The light ray suffers total internal reflection at the adjacent surface as shown. The maximum value of angle \theta$ should be equal to :

Options:

A) {\sin ^{ - 1}}{{\sqrt 7 } \over 3}

B) {\sin ^{ - 1}}{{\sqrt 5 } \over 4}

C) {\sin ^{ - 1}}{{\sqrt 7 } \over 4}

D) {\sin ^{ - 1}}{{\sqrt 5 } \over 3}

183

EasyJEE Mains2021

A ray of laser of a wavelength 630 nm is incident at an angle of 30$^\circ$ at the diamond-air interface. It is going from diamond to air. The refractive index of diamond is 2.42 and that of air is 1. Choose the correct option.

Options:

A) angle of refraction is 24.41$^\circ

B) angle of refraction is 30$^\circ

C) refraction is not possible

D) angle of refraction is 53.4$^\circ

184

MediumJEE Mains2021

A ray of light passes from a denser medium to a rarer medium at an angle of incidence i. The reflected and refracted rays make an angle of 90$^\circ$ with each other. The angle of reflection and refraction are respectively r and r'. The critical angle is given by

Options:

A) sin$-$1 (tan r)

B) sin$-$1 (cot r)

C) sin$-$1 (tan r')

D) tan$-$1 (sin i)

185

EasyJEE Mains2021

Region I and II are separated by a spherical surface of radius 25 cm. An object is kept in region I at a distance of 40 cm from the surface. The distance of the image from the surface is :

Options:

A) 55.44 cm

B) 18.23 cm

C) 9.52 cm

D) 37.58 cm

186

MediumJEE Mains2021

Three rays of light, namely red (R), green (G) and blue (B) are incident on the face PQ of a right angled prism PQR as shown in the figure.The refractive indices of the material of the prism for red, green and blue wavelength are 1.27, 1.42 and 1.49 respectively. The colour of the ray(s) emerging out of the face PR is :

Options:

A) green

B) blue and green

C) blue

D) red

187

EasyJEE Mains2021

Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to her as non-uniform and distorted. The doctor diagnosed the problem as :

Options:

A) Astigmatism

B) Myopia with Astigmatism

C) Presbyopia with Astigmatism

D) Myopia and Hypermetropia

188

MediumJEE Mains2021

The thickness at the centre of a plane convex lens is 3 mm and the diameter is 6 cm. If the speed of light in the material of the lens is 2 $\times 108 ms-$1. The focal length of the lens is ____________.

Options:

A) 0.30 cm

B) 30 cm

C) 15 cm

D) 1.5 cm

189

EasyJEE Mains2021

The refractive index of a converging lens is 1.4. What will be the focal length of this lens if it is placed in a medium of same refractive index? Assume the radii of curvature of the faces of lens are R1 and R2 respectively.

Options:

A) Zero

B) Infinite

C) 1

D) {{{R_1}{R_2}} \over {{R_1} - {R_2}}}

190

EasyJEE Mains2021

Red light differs from blue light as they have :

Options:

A) Different frequencies and same wavelengths

B) Different frequencies and different wavelengths

C) Same frequencies and different wavelengths

D) Same frequencies and same wavelengths

191

EasyJEE Mains2021

The angle of deviation through a prism is minimum when(A) Incident ray and emergent ray are symmetric to the prism.(B) The refracted ray inside the prism becomes parallel to its base(C) Angle of incidence is equal to that of the angle of emergence(D) When angle of emergence is double the angle of incidenceChoose the correct answer from the options given below :

Options:

A) Statements (B) and (C) are true

B) Only statements (A) and (B) are true

C) Statements (A), (B) and (C) are true

D) Only statement (D) is true

192

MediumJEE Mains2021

The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors $\overrightarrow a , \overrightarrow b and \overrightarrow c $ respectively. Then choose the correct relation for these vectors.

Options:

A) \overrightarrow b = \overrightarrow a + 2\overrightarrow c

B) \overrightarrow b = \overrightarrow a - 2 (\overrightarrow a . \overrightarrow c )\overrightarrow c

C) \overrightarrow b = 2\overrightarrow a + \overrightarrow c

D) \overrightarrow b = \overrightarrow a - \overrightarrow c

193

MediumJEE Mains2021

Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R.Assertion A : For a simple microscope, the angular size of the object equals the angular size of the image.Reason R : Magnification is achieved as the small object can be kept much closer to the eye than 25 cm and hence it subtends a large angle.In the light of the above statements, choose the most appropriate answer from the options given below :

Options:

A) A is true but R is false

B) A is false but R is true

C) Both A and R are true and R is the correct explanation of A

D) Both A and R are true but R is NOT the correct explanation of A

194

MediumJEE Mains2021

A short straight object of height 100 cm lies before the central axis of a spherical mirror whose focal length has absolute value | f | = 40 cm. The image of object produced by the mirror is of height 25 cm and has the same orientation of the object. One may conclude from the information :

Options:

A) Image is real, same side of convex mirror.

B) Image is virtual, opposite side of convex mirror.

C) Image is virtual, opposite side of concave mirror.

D) Image is real, same side of concave mirror.

195

EasyJEE Mains2021

The focal length f is related to the radius of curvature r of the spherical convex mirror by :

Options:

A) f = r

B) f = $-$ r

C) f = +${{1 \over 2}}$ r

D) f = $-{{1 \over 2}}$ r

196

MediumJEE Mains2020

A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of curvature of a surface of a plano-convex lens made of the same material with power 1.5 P is :

Options:

A) {R \over 3}

B) {{3R} \over 2}

C) {R \over 2}

D) 2R

197

MediumJEE Mains2020

A point like object is placed at a distance of 1 m in front of a convex lens of focal length 0.5 m. A plane mirror is placed at a distance of 2 m behind the lens. The position and nature of the final image formed by the system is :

Options:

A) 2.6 m from the mirror, real

B) 1 m from the mirror, real

C) 2.6 m from the mirror, virtual

D) 1 m from the mirror, virtual

198

MediumJEE Mains2020

For a concave lens of focal length f, the relation between object and image distances u and v, respectively, from its pole can best be represented by (u = v is the reference line) :

Options:

199

MediumJEE Mains2020

A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure drawn as schematic and not to scale)

Options:

A) Inverted, real and unmagnified

B) Inverted, real and magnified

C) Erect, virtual and magnified

D) Erect, virtual and unmagnified

200

MediumJEE Mains2020

There is a small source of light at some depth below the surface of water (refractive index = ${4 \over 3}) in a tank of large cross sectional surface area. Neglecting any reflection from the bottom and absorption by water, percentage of light that emerges out of surface is (nearly) : [Use the fact that surface area of a spherical cap of height h and radius of curvature r is 2\pi $rh]:

Options:

A) 17%

B) 34%

C) 50%

D) 21%

201

MediumJEE Mains2020

A vessel of depth 2h is half filled with a liquid of refractive index $2\sqrt 2 and the upper half with another liquid of refractive index \sqrt 2 $ . The liquids are immiscible. The apparent depth of the inner surface of the bottom of vessel will be :

Options:

A) {h \over {\sqrt 2 }}

B) {h \over {3\sqrt 2 }}

C) {3 \over 4}h\sqrt 2

D) {h \over {2\left( {\sqrt 2 + 1} \right)}}

202

MediumJEE Mains2020

The aperture diameter of a telescope is 5m. The separation between the moon and the earth is 4 × 105 km. With light of wavelength of 5500 $\mathop A\limits^o $, the minimum separation between objects on the surface of moon, so that they are just resolved, is close to :

Options:

A) 20 m

B) 200 m

C) 600 m

D) 60 m

203

MediumJEE Mains2020

An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical representation of the magnitude of linear magnification (m) versus distance of the object from the mirror (x) is correctly given by : (Graphs are drawn schematically and are not to scale)

Options:

204

MediumJEE Mains2020

The magnifying power of a telescope with tube 60 cm is 5. What is the focal length of its eye piece ?

Options:

A) 40 cm

B) 10 cm

C) 30 cm

D) 20 cm

205

MediumJEE Mains2020

The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability ${4 \over 3}$ for this wavelength, will be :

Options:

A) 45°

B) 15°

C) 30°

D) 60°

206

MediumJEE Mains2020

A thin lens made of glass (refractive index = 1.5) of focal length f = 16 cm is immersed in a liquid of refractive index 1.42. If its focal length in liquid is f1 , then the ratio ${{{f_1}} \over f}$ is closest to the integer :

Options:

A) 17

B) 1

C) 9

D) 5

207

MediumJEE Mains2020

If we need a magnification of 375 from a compound microscope of tube length 150 mm and an objective of focal length 5 mm, the focal length of the eye-piece, should be close to :

Options:

A) 22 mm

B) 12 mm

C) 33 mm

D) 2 mm

208

MediumJEE Mains2019

A transparent cube of side, made of a material of refractive index $\mu 2, is immersed in a liquid of refractive index \mu 1(\mu 1 < \mu 2). A ray is incident on the face AB at an angle \theta (shown in the figure). Total internal reflection takes place at point E on the face BC. Then \theta $ must satisfy :

Options:

A) \theta > {\sin ^{ - 1}}\sqrt {{{\mu _2^2} \over {\mu _1^2}} - 1}

B) \theta < {\sin ^{ - 1}}\sqrt {{{\mu _2^2} \over {\mu _1^2}} - 1}

C) \theta < {\sin ^{ - 1}}{{{\mu _1}} \over {{\mu _2}}}

D) \theta > {\sin ^{ - 1}}{{{\mu _1}} \over {{\mu _2}}}

209

MediumJEE Mains2019

A concave mirror has radius of curvature of 40 cm. It is at the bottom of a glass that has water filled up to 5 cm (see figure). If a small particle is floating on the surface of water, its image as seen, from directly above the glass, is at a distance d from the surface of water. The value of d is dose to: (Refractive index of water = 1.33)

Options:

A) 11.7 cm

B) 6.7 cm

C) 13.4 cm

D) 8.8 cm

210

MediumJEE Mains2019

The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length of the lens used?

Options:

A) {{{b^2}} \over {ac}}

B) {{{b^2}c} \over a}

C) {a \over c}

D) {b \over c}

211

MediumJEE Mains2019

A ray of light AO in vacuum is incident on a glass slab at angle 60° and refracted at angle 30° along OB as shown in the figure. The optical path length of light ray from A to B is:

Options:

A) 2a + 2b/$\sqrt 3

B) 2a + 2b/3

C) 2a + 2b

D) 2$\sqrt3$/a + 2b

212

MediumJEE Mains2019

One plano-convex and one plano-concave lens of same radius of curvature 'R' but of different materials are joined side by side as shown in the figure. If the refractive index of the material of 1 is $\mu 1 and that of 2 is \mu $2, then the focal length of the combination is :

Options:

A) {2R \over { {{\mu _1} - {\mu _2}}}}

B) {R \over {2 - \left( {{\mu _1} - {\mu _2}} \right)}}

C) {R \over { {{\mu _1} - {\mu _2}}}}

D) {R \over {2 \left( {{\mu _1} - {\mu _2}} \right)}}

213

MediumJEE Mains2019

A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept at two distances x1 and x2 (x1 > x2) from the lens. The ratio of x1 and x2 is :-

Options:

A) 3 : 1

B) 2 : 1

C) 5 : 3

D) 4 : 3

214

MediumJEE Mains2019

A thin convex lens L (refractive index = 1.5) is placed on a plane mirror M. When a pin is placed at A, such that OA = 18 cm, its real inverted image is formed at A itself, as shown in figure. When a liquid of refractive index μ1 is put between the lens and the mirror, The pin has to be moved to A', such that OA' = 27 cm, to get its inverted real image at A' itself. The value of μ1 will be :-

Options:

A) \sqrt 3

B) 3 / 2

C) \sqrt 2

D) 4 / 3

215

MediumJEE Mains2019

A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is :

Options:

A) 0.24 m

B) 0.32 m

C) 1.60 m

D) 0.16 m

216

MediumJEE Mains2019

A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines, are kept 80 cm apart from each other. The concave mirror is to the right of the convex lens. When an object is kept at a distance of 30 cm to the left of the convex lens, its image remains at the same position even if the concave mirror is removed. The maximum distance of the object for which this concave mirror, by itself would produce a virtual image would be :-

Options:

A) 25 cm

B) 10 cm

C) 20 cm

D) 30 cm

217

MediumJEE Mains2019

In figure, the optical fiber is $l = 2m long and has a diameter of d = 20 μm. If a ray of light is incident on one end of the fiber at angle \theta _1$ = 40°, the number of reflection it makes before emerging from the other end is close to: (refractive index of fibre is 1.31 and sin 40° = 0.64)

Options:

A) 57000

B) 55000

C) 66000

D) 45000

218

MediumJEE Mains2019

An upright object is placed at a distance of 40 cm in front of a convergent lens of focal length 20 cm. A convergent mirror of focal length 10 cm is placed at a distance of 60 cm on the other side of the lens. The position and size of the final image will be :

Options:

A) 20 cm from the convergent mirror, same size as the object

B) 40 cm from the convergent mirror, same size as the object

C) 40 cm from the convergent lens, same size as the object

D) 20 cm from the convergent mirror, twice the size of the object

219

MediumJEE Mains2019

A plano-convex lens (focal length f2, refractive index $\mu 2, radius of curvature R) fits exactly into a plano-concave lens (focal length f1, refractive index \mu $1, radius of curvature R). Their plane surfaces are parallel to each other. Then, the focal length of the combination will be :

Options:

A) f1 + f2

B) f1 $-$ f2

C) {R \over {{\mu _2} - {\mu _1}}}

D) {{2{f_1}{f_2}} \over {{f_1} + {f_2}}}

220

MediumJEE Mains2019

Formation of real image using a biconvex lens is shown below : If the whole set up is immersed in water without disturbing the object and the screen positions, what will one observe on the screen ?

Options:

A) Image disappears

B) Magnified image

C) Erect real image

D) No change

221

MediumJEE Mains2019

A point source of light, S is placed at distance L in front of the centre of plane mirror of width d which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance 2L as shown below. The distance over which the man can see the image of the light source in the mirror is

Options:

A) d

B) d/2

C) 3d

D) 2d

222

MediumJEE Mains2019

What is the position and nature of image formed by lens combination shown in figure ? (f1, f2 are focal lengths)

Options:

A) {{20} \over 3}$ cm from point B at right, real

B) 70 cm from point B at right ; real

C) 40 cm from point B at right; real

D) 70 cm from point B at left ; virtual

223

MediumJEE Mains2019

A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material of the prism is $\sqrt 3 $, then the angle of incidence is:

Options:

A) 60o

B) 45o

C) 90o

D) 30o

224

MediumJEE Mains2019

An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the object. If the object moves away from the lens at a speed of 5 m/s, the speed and direction of the image will be :

Options:

A) 1.16 $ \times $ 10–3 m/s towards the lens

B) 2.26 $ \times $ 10–3 m/s away from the lens

C) 3.22 × 10–3 m/s towards the lens

D) 0.92 $ \times 10-$3 m/s away from the lens

225

MediumJEE Mains2019

The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of the following graphs is the correct one, if Dm is the angle of minimum deviation?

Options:

226

MediumJEE Mains2019

The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of cornea (7.8 mm). This surface separateds two media of refractive indices 1 and 1.34. Calculate the distance from the refracting surface at which a parallel beam of light will come to focus -

Options:

A) 2 cm

B) 3.1 cm

C) 4.0 cm

D) 1 cm

227

MediumJEE Mains2019

A plano convex lens of refractive index $\mu 1 and focal length ƒ1 is kept in contact with another plano concave lens of refractive index \mu 2 and focal length ƒ2. If the radius of curvature of their spherical faces is R each and ƒ1 = 2ƒ2, then \mu 1 and \mu $2 are related as -

Options:

A) 3{\mu _2} - 2{\mu _1}$ = 1

B) {\mu _1} + {\mu _2}$ = 3

C) 2{\mu _1} - {\mu _2}$ = 1

D) 2{\mu _2} - {\mu _1}$ = 1

228

MediumJEE Mains2019

Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M1) and parallel to the second mirror (M2) is finally reflected from the second mirror (M2) parallel to the first mirror (M1). The angle between the two mirrors will be :

Options:

A) 45o

B) 60o

C) 75o

D) 90o

229

MediumJEE Mains2019

A convex lens is put 10 cm from a light source and it makes a sharp image on a screen, kept 10 cm from the lens. Now a glass block (refractive index 1.5) of 1.5 cm thickness is placed in contact with the light source. To get the sharp image again, the screen is shifted by a distance d. Then d is :

Options:

A) 1.1 cm away from the lens

B) 0

C) 0.55 cm towards the lens

D) 0.55 cm away from the lens

230

MediumJEE Mains2018

A ray of light is incident at an angle of 60o on one face of a prism of angle 30o. The emergent ray of light makes an angle of 30o with incident ray. The angle made by the emergent ray with second face of prism will be :

Options:

A) 0o

B) 90o

C) 45o

D) 30o

231

MediumJEE Mains2018

A convergent doublet of separated lenses, corrected for spherical aberration, has resultant focal length of 10 cm. The separation between the two lenses is $2$ cm. The focal lengths of the component lenses are :

Options:

A) 10 cm, 12 cm

B) 12 cm, 14 cm

C) 16 cm, 18 cm

D) 18 cm, 20cm

232

MediumJEE Mains2018

A planoconvex lens becomes an optical system of $28 cm focal length when its plane surface is silvered and illuminated from left to right as shown in Fig-A. If the same lens is instead silvered on the curved surface and illuminated from other side as in Fig-B, it acts like an optical system of focal length 10 cm.$ The refractive index of the material of lens is :

Options:

A) 1.50

B) 1.55

C) 1.75

D) 1.51

233

MediumJEE Mains2018

A particle is oscillating on the $X-axis with an amplitude 2 cm about the point {x_0} = 10\,cm, with a frequency \omega . A concave mirror of local length 5 cm$ is placed at the origin (see figure). Identify the correct statements.

Options:

A) The image executs periodic motoin.

B) The image executes non-periodic motion.

C) The turning points of the image are asymmetric w.r.t. the image of the point at $x=10 cm$.

D) The distance between the turning points of the oscillation of the image is ${{100} \over {21}}\,cm.

234

MediumJEE Mains2017

In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror at a distance of 5 cm from it. It is found that an object and its image coincide, if the object is placed at a distance of 20 cm from the lens. The focal length of the convex mirror is :

Options:

A) 27.5 cm

B) 20.0 cm

C) 25.0 cm

D) 30.5 cm

235

MediumJEE Mains2017

Let the refractive index of a denser medium with respect to a rarer medium be n12 and its critical angle be θC . At an angle of incidence A when light is travelling from denser medium to rarer medium, a part of the light is reflected and the rest is refracted and the angle between reflected and refracted rays is 90o. Angle A is given by :

Options:

A) {1 \over {{{\cos }^{ - 1}}\left( {\sin {\theta _C}} \right)}}

B) {1 \over {{{\tan }^{ - 1}}\left( {\sin {\theta _C}} \right)}}

C) {\cos ^{ - 1}}\,\left( {\sin {\theta _C}} \right)

D) {\tan ^{ - 1}}\,\left( {\sin {\theta _C}} \right)

236

MediumJEE Mains2017

A diverging lens with magnitude of focal length 25 cm is placed at a distance of 15cm from a converging lens of magnitude of focal length 20cm. A beam of parallel light falls on the diverging lens. The final image formed is:

Options:

A) real and at a distance of 6 cm from the convergent lens.

B) real and at a distance of 40 cm from convergent lens.

C) virtual and at a distance of 40 cm from convergent lens.

D) real and at a distance of 40 cm from the divergent lens.

237

MediumJEE Mains2016

A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the mirror is seen :

Options:

A) 14 cm below flat surface

B) 30 cm below flat surface

C) 20 cm below flat surface

D) 16 cm below flat surface

238

MediumJEE Mains2016

To determine refractive index of glass slab using a travelling microscope, minimum number of readings required are :

Options:

A) Two

B) Three

C) Four

D) Five

239

MediumJEE Mains2016

A convex lens, of focal length 30 cm, a concave lens of focal length 120 cm, and aplane mirror are arranged as shown. For an object kept at a distance of 60 cm from the convex lens, the final image, formed by the combination, is a real image, at a distance of :

Options:

A) 60 cm from the convex lens

B) 60 cm from the concave lens

C) 70 cm from the convex lens

D) 70 cm from the concave lens

240

MediumJEE Mains2016

To find the focal length of a convex mirror, a student records the following data : ObjectPin ConvexLens ConvexMirror ImagePin 22.2 cm 32.2 cm 45.8 cm 71.2 cm The focal length of the convex lens is f1 and that of mirror is f2. Then taking index correction to be negligibly small, f1 and f2 are close to :

Options:

A) f1 = 12.7 cm f2 = 7.8 cm

B) f1 = 7.8 cm f2 = 12.7 cm

C) f1 = 7.8 cm f2 = 25.4 cm

D) f1 = 15.6 cm f2 = 25.4 cm

241

MediumJEE Mains2016

An observer looks at a distant tree of height $10 m with a telescope of magnifying power of 20.$ To the observer the tree appears:

Options:

A) 20$ times taller

B) 20$ times nearer

C) 10$ times taller

D) 10$ times nearer

242

MediumJEE Mains2016

In an experiment for determination of refractive index of glass of a prism by $i - \delta , plot it was found thata ray incident at angle {35^ \circ }, suffers a deviation of {40^ \circ } and that it emerges at angle {79^ \circ }.$ In that case which of the following is closest to the maximum possible value of the refractive index?

Options:

A) 1.7

B) 1.8

C) 1.5

D) 1.6

243

MediumJEE Mains2015

Monochromatic light is incident on a glass prism of angle $A. If the refractive index of the material of the prism is \mu , a ray, incident at an angle \theta . on the face AB would get transmitted through the face AC$ of the prism provided :

Options:

A) \theta > {\cos ^{ - 1}}\left[ {\mu \,\sin \left( {A + {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]

B) \theta < {\cos ^{ - 1}}\left[ {\mu \,\sin \left( {A + {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]

C) \theta > si{n^{ - 1}}\left[ {\mu \,\sin \left( {A - {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]

D) \theta < si{n^{ - 1}}\left[ {\mu \,\sin \left( {A - {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]

244

MediumJEE Mains2014

A green light is incident from the water to the air - water interface at the critical angle $\left( \theta \right)$. Select the correct statement.

Options:

A) The entire spectrum of visible light will come out of the water at an angle of ${90^ \circ }$ to the normal.

B) The spectrum of visible light whose frequency is less than that of green light will come out to the air medium.

C) The spectrum of visible light whose frequency is more than that of green light will come out to the air medium.

D) The entire spectrum of visible light will come out of the water at various angles to the normal.

245

MediumJEE Mains2014

A thin convex lens made from crown glass $\left( {\mu = {3 \over 2}} \right) has focal length f. When it is measured in two different liquids having refractive indices {4 \over 3} and {5 \over 3}, it has the focal lengths {f_1} and {f_2}$ respectively. The correct relation between the focal lengths is :

Options:

A) {f_1} = {f_2} < f

B) {f_1} > f and {f_2}$ becomes negative

C) {f_2} > f and {f_1}$ becomes negative

D) {f_1}\, and{f_2}\,$ both become negative

246

MediumJEE Mains2013

The graph between angle of deviation $\left( \delta \right) and angle of incidence (i)$ for a triangular prism is represented by

Options:

247

MediumJEE Mains2013

Diameter of a plano-convex lens is $6 cm and thickness at the center is 3mm. If speed of light in material of lens is 2 \times {10^8}\,m/s,$ the focal length of the lens is

Options:

A) 15 cm

B) 20 cm

C) 30 cm

D) 10 cm

248

MediumJEE Mains2012

An object $2.4 m in front of a lens forms a sharp image on a film 12 cm behind the lens. A glass plate 1 cm thick, of refractive index 1.50$ is interposed between lens and film with its plane faces parallel to film. At what distance (from lens) should object shifted to be in sharp focus of film?

Options:

A) 7.2 m

B) 24 m

C) 3.2 m

D) 5.6 m

249

MediumJEE Mains2011

Let $x-z plane be the boundary between two transparent media. Medium 1 in z \ge 0 has a refractive index of \sqrt 2 and medium 2 with z < 0 has a refractive index of \sqrt 3 . A ray of light in medium 1 given by the vector \overrightarrow A = 6\sqrt 3 \widehat i + 8\sqrt 3 \widehat j - 10\widehat k is incident on the plane of separation. The angle of refraction in medium 2$ is:

Options:

A) {45^ \circ }

B) {60^ \circ }

C) {75^ \circ }

D) {30^ \circ }

250

MediumJEE Mains2011

A car is fitted with a convex side-view mirror of focal length $20 cm. A second car 2.8m behind the first car is overtaking the first car at a relative speed of 15 m/s$. The speed of the image of the second car as seen in the mirror of the first one is :

Options:

A) {1 \over {15}}\,m/s

B) 10\,m/s

C) 15\,m/s

D) {1 \over {10}}\,m/s

251

MediumJEE Mains2010

An initially parallel cylindrical beam travels in a medium of refractive index $\mu \left( I \right) = {\mu _0} + {\mu _2}\,I, where {\mu _0} and {\mu _2} are positive constants and I$ is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. The speed of light in the medium is

Options:

A) minimum on the axis of the beam

B) the same everywhere in the beam

C) directly proportional to the intensity $I

D) maximum on the axis of the beam

252

MediumJEE Mains2010

An initially parallel cylindrical beam travels in a medium of refractive index $\mu \left( I \right) = {\mu _0} + {\mu _2}\,I, where {\mu _0} and {\mu _2} are positive constants and I$ is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. As the beam enters the medium, it will

Options:

A) diverge

B) converge

C) diverge near the axis and converge near the periphery

D) travel as a cylindrical beam

253

MediumJEE Mains2009

A transparent solid cylindrical rod has a refractive index of ${2 \over {\sqrt 3 }}. It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. The incident angle \theta $ for which the light ray grazes along the wall of the rod is :

Options:

A) {\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{\scriptstyle {\sqrt 3 }} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}} \right)

B) {\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{\scriptstyle 2} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle {\sqrt 3 }}}} \right)

C) {\sin ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)

D) {\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}} \right)

254

MediumJEE Mains2009

In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance $u and the image distance v, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of {45^ \circ } with the x-axis meets the experimental curve at P. The coordinates of P$ will be :

Options:

A) \left( {{f \over 2},{f \over 2}} \right)

B) \left( {f,f} \right)

C) \left( {4f,4f} \right)

D) \left( {2f,2f} \right)

255

MediumJEE Mains2008

A student measures the focal length of a convex lens by putting an object pin at a distance $'u' from the lens and measuring the distance 'v' of the image pin. The graph between 'u' and 'v'$ plotted by the student should look like

Options:

256

MediumJEE Mains2007

Two lenses of power $-15 D and +5 D$ are in contact with each other. The focal length of the combination is

Options:

A) + 10\,cm

B) - 20\,cm

C) - 10\,cm

D) + 20\,cm

257

MediumJEE Mains2006

The refractive index of a glass is $1.520 for red light and 1.525 for blue light. Let {D_1} and {D_2}$ be angles of minimum deviation for red and blue light respectively in a prism of this glass. Then,

Options:

A) {D_1} < {D_2}

B) {D_1} = {D_2}

C) {D_1} can be less than or greater than {D_2}$ depending upon the angle of prism

D) {D_1} > {D_2}

258

MediumJEE Mains2005

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is ${4 \over 3} and the fish is 12 cm below the surface, the radius of this circle in cm$ is

Options:

A) {{36} \over {\sqrt 7 }}

B) {36\sqrt 7 }

C) {4\sqrt 5 }

D) {36\sqrt 5 }

259

MediumJEE Mains2005

A thin glass (refractive index $1.5) lens has optical power of -5 D in air. Its optical power in a liquid medium with refractive index 1.6$ will be

Options:

A) -1 D

B) 1 D

C) -25 D

D) 25 D

260

MediumJEE Mains2004

A plano convex lens of refractive index $1.5 and radius of curvature 30 cm$. Is silvered at the curved surface. Now this lens has been used to form the image of an object. At what distance from this lens an object be placed in order to have a real image of size of the object

Options:

A) 60 cm

B) 30 cm

C) 20 cm

D) 80 cm

261

MediumJEE Mains2004

A light ray is incident perpendicularly to one face of a ${90^ \circ } prism and is totally internally reflected at the glass-air interface. If the angle of reflection is {45^ \circ }, we conclude that the refractive index n

Options:

A) n > {1 \over {\sqrt 2 }}

B) n > \sqrt 2

C) n < {1 \over {\sqrt 2 }}

D) n < \sqrt 2

262

MediumJEE Mains2003

To get three images of a single object, one should have two plane mirrors at an angle of

Options:

A) {60^ \circ }

B) {90^ \circ }

C) {120^ \circ }

D) {30^ \circ }

263

MediumJEE Mains2003

The image formed by an objective of a compound microscope is

Options:

A) virtual and diminished

B) real an diminished

C) real and enlarged

D) virtual and enlarged

264

MediumJEE Mains2002

If two mirrors are kept at ${60^ \circ }$ to each other, then the number of images formed by them is

Options:

A) 5

B) 6

C) 7

D) 8

265

MediumJEE Mains2002

An astronomical telescope has a large aperture to

Options:

A) reduce spherical aberration

B) have high resolution

C) increase span of observation

D) have low dispersion

266

MediumJEE Mains2002

Which of the following is used in optical fibres?

Options:

A) total internal reflection

B) scattering

C) diffracttion

D) refraction

267

MediumJEE Mains2002

Wavelength of light used in an optical instrument are ${\lambda _1} = 4000\mathop A\limits^ \circ and {\lambda _2} = 5000\mathop A\limits^ \circ , then ratio of their respective resolving powers (corresponding to {\lambda _1} and {\lambda _2}$ ) is :

Options:

A) 16:25

B) 9:1

C) 4:5

D) 5:4

268

MediumJEE Mains2026

A convex lens of refractive index 1.5 and focal length f=18 \mathrm{~cm} is immersed in water. The difference in focal lengths of the given lens when it is in water and in air is \alpha \times \mathrm{f}. The value of \alpha is \_\_\_\_ . (refractive index of water =4 / 3 )

Options:

269

MediumJEE Mains2026

The size of the images of an object, formed by a thin lens are equal when the object is placed at two different positions 8 cm and 24 cm from the lens. The focal length of the lens is \_\_\_\_ cm.

Options:

270

EasyJEE Mains2026

A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm . Refractive index of glass is 1.5 . The rays converge to a point at a distance x \mathrm{~cm} from the centre of the curvature of the spherical surface. The value of x is \_\_\_\_ cm .

Options:

271

EasyJEE Mains2026

In a microscope the objective is having focal length f_o=2 \mathrm{~cm} and eye-piece is having focal length f_e=4 \mathrm{~cm}. The tube length is 32 cm . The magnification produced by this microscope for normal adjustment is \_\_\_\_ .

Options:

272

MediumJEE Mains2026

A collimated beam of light of diameter 2 mm is propagating along x-axis. The beam is required to be expanded in a collimated beam of diameter 14 mm using a system of two convex lenses. If first lens has focal length 40 mm , then the focal length of second lens is \_\_\_\_ mm.

Options:

273

MediumJEE Mains2025

A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above first liquid. If viewed from above, the apparent shift in the position of bottom of container is 40 cm . The value of H is ________ cm . (Consider liquids are immisible)

Options:

274

MediumJEE Mains2025

Distance between object and its image (magnified by -\frac{1}{3} ) is 30 cm . The focal length of the mirror used is \left(\frac{x}{4}\right) \mathrm{cm}, where magnitude of value of x is _________.

Options:

275

MediumJEE Mains2025

Light from a point source in air falls on a spherical glass surface (refractive index, \mu=1.5 and radius of curvature =50 \mathrm{~cm} ). The image is formed at a distance of 200 cm from the glass surface inside the glass. The magnitude of distance of the light source from the glass surface is ___________m.

Options:

276

MediumJEE Mains2025

A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60^{\circ}. The refractive index of the prism material is \sqrt{2}. The angle of incidence (in degrees) is__________

Options:

277

HardJEE Mains2025

Two light beams fall on a transparent material block at point 1 and 2 with angle \theta_1 and \theta_2, respectively, as shown in figure. After refraction, the beams intersect at point 3 which is exactly on the interface at other end of the block. Given : the distance between 1 and 2, \mathrm{d}=4 \sqrt{3} \mathrm{~cm} and \theta_1=\theta_2=\cos ^{-1}\left(\frac{n_2}{2 n_1}\right). where refractive index of the block n_2> refractive index of the outside medium \mathrm{n}_1, then the thickness of the block is ______ cm .

Options:

278

HardJEE Mains2025

The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view mirror, which is a convex mirror with radius of curvature \mathrm{R}=2 \mathrm{~m}. Another car approaches him from behind with a uniform speed of 90 \mathrm{~km} / \mathrm{hr}. When the car is at a distance of 24 m from him, the magnitude of the acceleration of the image of the car in the side view mirror is ' a '. The value of 100 a is __________ \mathrm{m} / \mathrm{s}^2.

Options:

279

MediumJEE Mains2024

The refractive index of prism is $\mu=\sqrt{3} and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _________^\circ$.

Options:

280

MediumJEE Mains2024

A light ray is incident on a glass slab of thickness $4 \sqrt{3} \mathrm{~cm} and refractive index \sqrt{2} The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is ______ \mathrm{cm}. (Given \sin 15^{\circ}=0.25$)

Options:

281

MediumJEE Mains2024

The distance between object and its 3 times magnified virtual image as produced by a convex lens is 20 \mathrm{~cm}. The focal length of the lens used is __________ \mathrm{cm}.

Options:

282

MediumJEE Mains2024

Light from a point source in air falls on a convex curved surface of radius $20 \mathrm{~cm} and refractive index 1.5. If the source is located at 100 \mathrm{~cm} from the convex surface, the image will be formed at ________ \mathrm{cm}$ from the object.

Options:

283

MediumJEE Mains2024

In an experiment to measure the focal length $(f) of a convex lens, the magnitude of object distance (x) and the image distance (y) are measured with reference to the focal point of the lens. The y-x plot is shown in figure. The focal length of the lens is ________ \mathrm{cm}$.

Options:

284

EasyJEE Mains2024

The distance between object and its two times magnified real image as produced by a convex lens is $45 \mathrm{~cm}$. The focal length of the lens used is _______ cm.

Options:

285

EasyJEE Mains2024

Two immiscible liquids of refractive indices $\frac{8}{5} and \frac{3}{2} respectively are put in a beaker as shown in the figure. The height of each column is 6 \mathrm{~cm}. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is \frac{\alpha}{4} \mathrm{~cm}. The value of \alpha$ is _________.

Options:

286

EasyJEE Mains2023

The refractive index of a transparent liquid filled in an equilateral hollow prism is \sqrt{2}. The angle of minimum deviation for the liquid will be ___________ $^\circ$.

Options:

287

MediumJEE Mains2023

A bi convex lens of focal length $10 \mathrm{~cm}$ is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is ____________ D.

Options:

288

HardJEE Mains2023

A fish rising vertically upward with a uniform velocity of $8 \mathrm{~ms}^{-1}, observes that a bird is diving vertically downward towards the fish with the velocity of 12 \mathrm{~ms}^{-1}. If the refractive index of water is \frac{4}{3}, then the actual velocity of the diving bird to pick the fish, will be __________ \mathrm{ms}^{-1}$.

Options:

289

EasyJEE Mains2023

Two convex lenses of focal length $20 \mathrm{~cm} each are placed coaxially with a separation of 60 \mathrm{~cm} between them. The image of the distant object formed by the combination is at _____________ \mathrm{cm}$ from the first lens.

Options:

290

MediumJEE Mains2023

As shown in the figure, a plane mirror is fixed at a height of $50 \mathrm{~cm} from the bottom of tank containing water \left(\mu=\frac{4}{3}\right). The height of water in the tank is 8 \mathrm{~cm}. A small bulb is placed at the bottom of the water tank. The distance of image of the bulb formed by mirror from the bottom of the tank is ___________ \mathrm{cm}$.

Options:

291

EasyJEE Mains2023

The radius of curvature of each surface of a convex lens having refractive index 1.8 is $20 \mathrm{~cm}. The lens is now immersed in a liquid of refractive index 1.5 . The ratio of power of lens in air to its power in the liquid will be x: 1. The value of x$ is _________.

Options:

292

MediumJEE Mains2023

A point object, 'O' is placed in front of two thin symmetrical coaxial convex lenses $\mathrm{L}_{1} and \mathrm{L}_{2} with focal length 24 \mathrm{~cm} and 9 \mathrm{~cm} respectively. The distance between two lenses is 10 \mathrm{~cm} and the object is placed 6 \mathrm{~cm} away from lens \mathrm{L}_{1} as shown in the figure. The distance between the object and the image formed by the system of two lenses is __________ \mathrm{cm}$.

Options:

293

MediumJEE Mains2023

Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature $30 \mathrm{~cm}. The centre of curvature of surface is towards denser medium and a point object is placed on the principle axis in rarer medium at a distance of 15 \mathrm{~cm} from the pole of the surface. The distance of image from the pole of the surface is ____________ \mathrm{cm}$.

Options:

294

MediumJEE Mains2023

Two vertical parallel mirrors A and B are separated by $10 \mathrm{~cm}. A point object \mathrm{O} is placed at a distance of 2 \mathrm{~cm} from mirror \mathrm{A}. The distance of the second nearest image behind mirror A from the mirror \mathrm{A} is _________ \mathrm{cm}$.

Options:

295

MediumJEE Mains2023

A pole is vertically submerged in swimming pool, such that it gives a length of shadow $2.15 \mathrm{~m} within water when sunlight is incident at angle of 30^{\circ} with the surface of water. If swimming pool is filled to a height of 1.5 \mathrm{~m}, then the height of the pole above the water surface in centimeters is \left(n_{w}=4 / 3\right)$ ____________.

Options:

296

MediumJEE Mains2023

A thin cylindrical rod of length $10 \mathrm{~cm} is placed horizontally on the principle axis of a concave mirror of focal length 20 \mathrm{~cm}. The rod is placed in a such a way that mid point of the rod is at 40 \mathrm{~cm} from the pole of mirror. The length of the image formed by the mirror will be \frac{x}{3} \mathrm{~cm}. The value of x$ is _____________.

Options:

297

MediumJEE Mains2023

In an experiment for estimating the value of focal length of converging mirror, image of an object placed at $40 \mathrm{~cm} from the pole of the mirror is formed at distance 120 \mathrm{~cm} from the pole of the mirror. These distances are measured with a modified scale in which there are 20 small divisions in 1 \mathrm{~cm}. The value of error in measurement of focal length of the mirror is \frac{1}{\mathrm{~K}} \mathrm{~cm}. The value of \mathrm{K}$ is __________.

Options:

298

MediumJEE Mains2023

In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures real thickness of the glass slab as 5.25 mm and apparent thickness of the glass slab as 5.00 mm. Travelling microscope has 20 divisions in one cm on main scale and 20 divisions on vernier scale is equal to 49 divisions on main scale. The estimated uncertainty in the measurement of refractive index of the slab is $\frac{x}{10}\times10^{-3}, where x$ is ___________

Options:

299

MediumJEE Mains2023

An object is placed on the principal axis of convex lens of focal length 10cm as shown. A plane mirror is placed on the other side of lens at a distance of 20 cm. The image produced by the plane mirror is 5cm inside the mirror. The distance of the object from the lens is ___________ cm.

Options:

300

MediumJEE Mains2023

A ray of light is incident from air on a glass plate having thickness $\sqrt3 cm and refractive index \sqrt2. The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is ____________ \times 10^{-2} cm. (given \sin 15^\circ = 0.26$)

Options:

301

MediumJEE Mains2023

A convex lens of refractive index 1.5 and focal length 18cm in air is immersed in water. The change in focal length of the lens will be ___________ cm. (Given refractive index of water $=\frac{4}{3}$)

Options:

302

MediumJEE Mains2023

As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an object placed at infinity. The radius of curvature of both the lenses is 30 cm and refraction index of the material for both the lenses is 1.75. Both the lenses are placed at distance of 40 cm from each other. Due to the combination, the image of the object is formed at distance $x=$ _________ cm, from concave lens.

Options:

303

MediumJEE Mains2022

The X-Y plane be taken as the boundary between two transparent media $\mathrm{M}_{1} and \mathrm{M}_{2}. \mathrm{M}_{1} in Z \geqslant 0 has a refractive index of \sqrt{2} and M_{2} with Z<0 has a refractive index of \sqrt{3}. A ray of light travelling in \mathrm{M}_{1} along the direction given by the vector \overrightarrow{\mathrm{P}}=4 \sqrt{3} \hat{i}-3 \sqrt{3} \hat{j}-5 \hat{k}, is incident on the plane of separation. The value of difference between the angle of incident in \mathrm{M}_{1} and the angle of refraction in \mathrm{M}_{2}$ will be __________ degree.

Options:

304

EasyJEE Mains2022

An object 'O' is placed at a distance of $100 \mathrm{~cm} in front of a concave mirror of radius of curvature 200 \mathrm{~cm} as shown in the figure. The object starts moving towards the mirror at a speed 2 \mathrm{~cm} / \mathrm{s}. The position of the image from the mirror after 10 \mathrm{~s} will be at _________ \mathrm{cm}$.

Options:

305

EasyJEE Mains2022

In an experiment with a convex lens, The plot of the image distance $\left(v^{\prime}\right) against the object distance (\left.\mu^{\prime}\right) measured from the focus gives a curve v^{\prime} \mu^{\prime}=225. If all the distances are measured in \mathrm{cm}$. The magnitude of the focal length of the lens is ___________ cm.

Options:

306

MediumJEE Mains2022

A thin prism of angle $6^{\circ} and refractive index for yellow light \left(\mathrm{n}_{\mathrm{Y}}\right) 1.5 is combined with another prism of angle 5^{\circ} and \mathrm{n}_{\mathrm{Y}}=1.55. The combination produces no dispersion. The net average deviation (\delta) produced by the combination is \left(\frac{1}{x}\right)^{\circ}. The value of x$ is ____________.

Options:

307

MediumJEE Mains2022

In the given figure, the face $A C of the equilateral prism is immersed in a liquid of refractive index 'n'. For incident angle 60^{\circ} at the side A C, the refractive light beam just grazes along face A C. The refractive index of the liquid n=\frac{\sqrt{x}}{4}. The value of x is ____________. (Given refractive index of glass =1.5$ )

Options:

308

MediumJEE Mains2022

The graph between $\frac{1}{u} and \frac{1}{v} for a thin convex lens in order to determine its focal length is plotted as shown in the figure. The refractive index of lens is 1.5 and its both the surfaces have same radius of curvature R. The value of R will be ____________ \mathrm{cm} . (where u= object distance, v=$ image distance)

Options:

309

MediumJEE Mains2022

A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The distance between the lens and mirror is 10 cm. A point object is placed on principal axis at a distance of 60 cm from the convex lens. The image formed by combination coincides the object itself. The focal length of the convex mirror is ____________ cm.

Options:

310

MediumJEE Mains2022

The refractive index of an equilateral prism is $\sqrt 2 $. The angle of emergence under minimum deviation position of prism, in degree, is ___________.

Options:

311

MediumJEE Mains2022

A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive index 1.5. The distance from the centre of the globe at which the beam of light can converge is _____________ mm.

Options:

312

MediumJEE Mains2022

A small bulb is placed at the bottom of a tank containing water to a depth of $\sqrt7 m. The refractive index of water is {4 \over 3}. The area of the surface of water through which light from the bulb can emerge out is x\pi$ m2. The value of x is __________.

Options:

313

MediumJEE Mains2022

A light ray is incident, at an incident angle $\theta1, on the system of tow plane mirrors M1 and M2 having an inclination angle 75^\circ between them (as shown in figure). After reflecting from mirror M1 it gets reflected back by the mirror M2 with an angle of reflection 30^\circ$. The total deviation of the ray will be _____________ degree.

Options:

314

EasyJEE Mains2022

A ray of light is incident at an angle of incidence 60$^\circ on the glass slab of refractive index \sqrt3. After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is 4\sqrt3$ cm. The thickness of the glass slab is __________ cm.

Options:

315

MediumJEE Mains2022

Two identical thin biconvex lens of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled with a liquid of refractive index 1.25. The focal length of the combination is __________ cm.

Options:

316

MediumJEE Mains2021

Cross-section view of a prism is the equilateral triangle ABC in the figure. The minimum deviation is observed using this prism when the angle of incidence is equal to the prism angle. The time taken by light to travel from P (midpoint of BC) to A is ______________ $\times 10-10 s. (Given, speed of light in vacuum = 3 \times 108 m/s and cos30^\circ = {{\sqrt 3 } \over 2}$)

Options:

317

MediumJEE Mains2021

An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other side of lens at 8 cm as shown in the figure. Image of object coincides with the object.When the convex mirror is removed, a real and inverted image is formed at a position. The distance of the image from the object will be .............. (cm)

Options:

318

MediumJEE Mains2021

A prism of refractive index n1 and another prism of refractive index n2 are stuck together (as shown in the figure). n1 and n2 depend on $\lambda, the wavelength of light, according to the relation{n_1} = 1.2 + {{10.8 \times {{10}^{ - 14}}} \over {{\lambda ^2}}} and {n_2} = 1.45 + {{1.8 \times {{10}^{ - 14}}} \over {{\lambda ^2}}}$The wavelength for which rays incident at any angle on the interface BC pass through without bending at that interface will be _____________ nm.

Options:

319

MediumJEE Mains2021

A ray of light passing through a prism ($\mu = \sqrt 3 $) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. Then, the angle of prism is _____________ (in degrees).

Options:

320

MediumJEE Mains2021

An object viewed from a near point distance of 25 cm, using a microscopic lens with magnification '6', gives an unresolved image. A resolved image is observed at infinite distance with a total magnification double the earlier using an eyepiece along with the given lens and a tube of length 0.6 m, if the focal length of the eyepiece is equal to __________ cm.

Options:

321

MediumJEE Mains2021

The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface. The image is real and is at ${{{2^{rd}}} \over 3} of the distance of the object from the surface. The wavelength of light inside the surface is {2 \over 3} times the wavelength in air. The radius of the curved surface is {x \over {13}}$ m. The value of 'x' is ___________.

Options:

322

MediumJEE Mains2021

A deviation of 2$^\circ is produced in the yellow ray when prism of crown and flint glass are achromatically combined. Taking dispersive powers of crown and flint glass as 0.02 and 0.03 respectively and refractive index for yellow light for these glasses are 1.5 and 1.6 respectively. The refracting angles for crown glass prism will be ____________^\circ$ (in degree). (Round off to the Nearest Integer)

Options:

323

MediumJEE Mains2021

A point source of light S, placed at a distance 60cm in front of the centre of a plane mirror of width 50 cm, hangs vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror at a distance 1.2 m from it (see in the figure). The distance between the extreme points where he can see the image of the light source in the mirror is __________ cm.

Options:

324

MediumJEE Mains2021

The same size images are formed by a convex lens when the object is placed at 20 cm or at 10 cm from the lens. The focal length of convex lens is __________ cm.

Options:

325

MediumJEE Mains2020

A prism of angle A = 1o has a refractive index $\mu = 1.5. A good estimate for the minimum angle of deviation (in degrees) is close to {N \over {10}}$. Value of N is ____.

Options:

326

MediumJEE Mains2020

A compound microscope consists of an objective lens of focal length 1 cm and an eyepiece of focal length 5 cm with a separation of 10 cm. The distance between an object and the objective lens, at which the strain on the eye is minimum is ${n \over {40}}$ cm. The value of n is _____.

Options:

327

MediumJEE Mains2020

The distance between an object and a screen is 100 cm. A lens can produce real image of the object on the screen for two different positions between the screen and the object. The distance between these two positions is 40 cm. If the power of the lens is close to $\left( {{N \over {100}}} \right)D$ where N is an integer, the value of N is _________.

Options:

328

MediumJEE Mains2020

In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the eye-piece. The focal length of its objective lens is 1 cm. If the magnification is 100 and the tube length of the microscope is 20 cm, then the focal length of the eye-piece lens (in cm) is __________.

Options:

329

MediumJEE Mains2020

When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm from the mirror. If the object is moved with a speed of 9 cms–1, the speed (in cms–1) with which image moves at that instant is ____.

Options:

330

MediumJEE Mains2020

An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of 15 cm from the bottom (see figure). The hole is at a height of 45 cm. When the jar is filled with a liquid up to a height of 30 cm the same observer can see the edge at the bottom of the jar. If the refractive index of the liquid is N/100, where N is an integer, the value of N is _____.

Options:

331

MediumJEE Mains2020

A light ray enters a solid glass sphere of refractive index $\mu = \sqrt 3 $ at an angle of incidence 60o. The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and refracted rays at this surface is ________.

Options:

332

MediumJEE Mains2020

A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved surface is 30 cm and the refractive index of the lens material is 1.5, then the focal length of the lens (in cm) is ______.

Options:

333

MediumJEE Mains2026

A prism of angle 75^{\circ} and refractive index \sqrt{3} is coated with thin film of refractive index 1.5 only at the back exit surface. To have total internal reflection at the back exit surface the incident angle must be \_\_\_\_ \left(\sin 15^{\circ}=0.25\right. and \left.\sin 25^{\circ}=0.43\right)

Options:

A) between 15^{\circ} and 20^{\circ}

B) 15^{\circ}

C) <15^{\circ}

D) >25^{\circ}

334

EasyNEET2025

A microscope has an objective of focal length 2 cm , eyepiece of focal length 4 cm and the tube length of 40 cm . If the distance of distinct vision of eye is 25 cm , the magnification in the microscope is

Options:

A) 150

B) 250

C) 100

D) 125

335

MediumNEET2025

In a certain camera, a combination of four similar thin convex lenses are arranged axially in contact. Then the power of the combination and the total magnification in comparison to the power ( p ) and magnification ( m ) for each lens will be, respectively

Options:

A) 4 p and m^4

B) p^4 and m^4

C) 4 p and 4 m

D) p^4 and 4 m

336

MediumNEET2024

Given below are two statements: Statement I : Image formation needs regular reflection and/or refraction. Statement II : The variety in colour of objects we see around us is due to the constituent colours of the light incident on them. In the light of the above statements, choose the most appropriate answer from the options given below :

Options:

A) Statement I is correct but statement II is incorrect

B) Statement I is incorrect but Statement II is correct

C) Both Statement I and Statement II are correct

D) Both Statement I and Statement II are incorrect

337

MediumNEET2024

A light ray enters through a right angled prism at point $P with the angle of incidence 30^{\circ} as shown in figure. It travels through the prism parallel to its base B C and emerges along the face A C$. The refractive index of the prism is:

Options:

A) \frac{\sqrt{5}}{4}

B) \frac{\sqrt{5}}{2}

C) \frac{\sqrt{3}}{4}

D) \frac{\sqrt{3}}{2}

338

MediumNEET2024

A small telescope has an objective of focal length $140 \mathrm{~cm} and an eye piece of focal length 5.0 \mathrm{~cm}$. The magnifying power of telescope for viewing a distant object is:

Options:

A) 34

B) 28

C) 17

D) 32

339

MediumNEET2023

A lens is made up of 3 different transparent media as shown in figure. A point object O is placed on its axis beyond $2f$. How many real images will be obtained on the other side?

Options:

A) 2

B) 1

C) No image will be formed

D) 3

340

MediumNEET2023

\epsilon_0 and \mu_0 are the electric permittivity and magnetic permeability of free space respectively. If the corresponding quantities of a medium are 2 ~\epsilon_0 and 1.5 ~\mu_0$ respectively, the refractive index of the medium will nearly be :

Options:

A) \sqrt{2}

B) \sqrt{3}

C) 3

D) 2

341

MediumNEET2023

A horizontal ray of light is incident on the right angled prism with prism angle $6^{\circ}$. If the refractive index of the material of the prism is 1.5 , then the angle of emergence will be:

Options:

A) 9^{\circ}

B) 10^{\circ}

C) 4^{\circ}

D) 6^{\circ}

342

MediumNEET2023

An object is mounted on a wall. Its image of equal size is to be obtained on a parallel wall with the help of a convex lens placed between these walls. The lens is kept at distance x in front of the second wall. The required focal length of the lens will be :

Options:

A) less than $\frac{x}{4}

B) more than $\frac{x}{4} but less than \frac{x}{2}

C) \frac{x}{2}

D) \frac{x}{4}

343

MediumNEET2023

Light travels a distance $\mathrm{x} in time t_{1} in air and 10 \mathrm{x} in time t_{2}$ in another denser medium. What is the critical angle for this medium?

Options:

A) \sin ^{-1}\left(\frac{10 \mathrm{t}_{2}}{\mathrm{t}_{1}}\right)

B) \sin ^{-1}\left(\frac{t_{1}}{10 t_{2}}\right)

C) \sin ^{-1}\left(\frac{10 t_{1}}{t_{2}}\right)

D) \sin ^{-1}\left(\frac{t_{2}}{t_{1}}\right)

344

MediumNEET2023

In the figure shown here, what is the equivalent focal length of the combination of lenses (Assume that all layers are thin) ?

Options:

A) -40 \mathrm{~cm}

B) -100 \mathrm{~cm}

C) -50 \mathrm{~cm}

D) 40 \mathrm{~cm}

345

MediumNEET2023

Two thin lenses are of same focal lengths $(f)$, but one is convex and the other one is concave. When they are placed in contact with each other, the equivalent focal length of the combination will be :

Options:

A) f / 4

B) f / 2

C) Infinite

D) Zero

346

MediumNEET2022

During a cloudy day, a primary and a secondary rainbow may be created, then the :

Options:

A) secondary rainbow is due to single internal reflection and is formed above the primary one.

B) primary rainbow is due to double internal reflection and is formed above the secondary one.

C) primary rainbow is due to double internal reflection and is formed below the secondary one.

D) secondary rainbow is due to double internal reflection and is formed above the primary one.

347

MediumNEET2022

An astronomical refracting telescope is being used by an observer to observe planets in normal adjustment. The focal lengths of the objective and eye piece used in the construction of the telescope are 20 m and 2 cm respectively. Consider the following statements about the telescope : (a) The distance between the objective and eye piece is 20.02 m (b) The magnification of the telescope is ($-$) 1000 (c) The image of the planet is erect and diminished (d) The aperture of eye piece is smaller than that of objective The correct statements are :

Options:

A) (a), (b) and (d)

B) (a), (b) and (c)

C) (b), (c) and (d)

D) (c), (d) and (a)

348

MediumNEET2022

A biconvex lens has radii of curvature, 20 cm each. If the refractive index of the material of the lens is 1.5, the power of the lens is

Options:

A) +2 D

B) +20 D

C) +5 D

D) Infinity

349

MediumNEET2022

A light ray falls on a glass surface of refractive index $\sqrt3, at an angle 60^\circ$. The angle between the refracted and reflected rays would be

Options:

A) 30$^\circ

B) 60$^\circ

C) 90$^\circ

D) 120$^\circ

350

MediumNEET2022

Two transparent media A and B are separated by a plane boundary. The speed of light in those media are 1.5 $\times 108 m/s and 2.0 \times$ 108 m/s, respectively. The critical angle for a ray of light for these two media is

Options:

A) sin$-$1 (0.500)

B) sin$-$1 (0.750)

C) tan$-$1 (0.500)

D) tan$-$1 (0.750)

351

MediumNEET2021

Find the value of the angle of emergence from the prism. Refractive index of the glass is $\sqrt 3

Options:

A) 90$^\circ

B) 60$^\circ

C) 30$^\circ

D) 45$^\circ

352

MediumNEET2021

A convex lens 'A' of focal length 20 cm and a concave lens 'B' of focal length 5 cm are kept along the same axis with a distance 'd' between them. If a parallel beam of light falling on 'A' leaves 'B' as a parallel beam, then the distance 'd' in cm will be :

Options:

A) 30

B) 25

C) 15

D) 50

353

MediumNEET2021

A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since :

Options:

A) a large aperture contributes to the quality and visibility of the images.

B) a large area of the objective ensures better light gathering power.

C) a large aperture provides a better resolution.

D) All the above.

354

MediumNEET2021

A point object is placed at a distance of 60 cm from a convex lens of focal length 30 cm. If a plane mirror were put perpendicular to the principal axis of the lens and at a distance of 40 cm from it, the final image would be formed at a distance of -

Options:

A) 20 cm from the plane mirror, it would be a virtual image.

B) 20 cm from the lens, it would be a real image.

C) 30 cm from the lens, it would be a real image.

D) 30 cm from the plane mirror, it would be a virtual image.

355

MediumNEET2020

A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu $, then the angle of incidence is nearly equal to :

Options:

A) {{2A} \over \mu }

B) \mu $A

C) {{\mu A} \over 2}

D) {A \over {2\mu }}

356

MediumNEET2020

The Brewster's angle ib for an interface should be :

Options:

A) 30$^\circ < ib< 45^\circ

B) 45$^\circ < ib< 90^\circ

C) ib = 90$^\circ

D) 0$^\circ < ib< 30^\circ

357

MediumNEET2019

Pick the wrong answer in the context with rainbow.

Options:

A) An observer can see a rainbow when his front is towards the sun.

B) Rainbow is a combined effect of dispersion refraction and reflection of sunlight.

C) When the light rays undergo two internal reflections in a water drop, a secondary rainbow is formed.

D) The order of colours is reversed in the secondary rainbow.

358

MediumNEET2019

In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be angle of refraction?

Options:

A) equal to angle of incidence

B) 90o

C) 180o

D) 0o

359

MediumNEET2019

Two similar thin equi-convex lenses, of focal length f each, are kept coaxially in contact with each other such that the focal length of the combination is F1. When the space between the two lenses is filled with glycerin (which has the same refractive index (m = 1.5) as that of glass) then the equivalent focal length is F2. The ratio F1 : F2 will be :

Options:

A) 1 : 2

B) 2 : 3

C) 3 : 4

D) 2 : 1

360

MediumNEET2018

An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be

Options:

A) 30 cm away from the mirror

B) 36 cm away from the mirror

C) 30 cm towards the mirror

D) 36 cm towards the mirror

361

MediumNEET2018

An astronomical refracting telescope will have large angular magnification and high angular resolution, when it has an objective lens of

Options:

A) small focal length and large diameter

B) large focal length and small diameter

C) large focal length and large diameter

D) small focal length and small diameter

362

MediumNEET2018

The refractive index of the material of a prism is $\sqrt 2 $ and the angle of the prism is 30°. One of the two refracting surfaces of the prism is made a mirror inwards, by silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is

Options:

A) 600

B) 450

C) 300

D) zero

363

MediumNEET2017

A thin prism having refracting angle 10o is made of glass of refractive infex 1.42. This prism is combined with another thin prism of glass of refractive index 1.7. This combination producess dispersion without deviation. The refracting angle of second prism should be

Options:

A) 6o

B) 8o

C) 10o

D) 4o

364

MediumNEET2017

A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle $\theta , the spot of the light is found to move through a distance y on the scale. The angle \theta $ is given by

Options:

A) {y \over x}

B) {x \over {2y}}

C) {x \over {y}}

D) {y \over {2x}}

365

MediumNEET2016

An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness (in cm) of the slab is

Options:

A) 8

B) 10

C) 12

D) 16

366

MediumNEET2016

A person can see clearly objects only when they lie between 50 cm and 400 cm from his eyes . In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use. will be

Options:

A) convex, + 2.25 diopter

B) concave, $-$0.25 diopter

C) concave, $-$0.2 diopter

D) convex, + 0.15 diopter

367

MediumNEET2016

Two identical glass ($\mu g = 3/2) equiconvex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water \left( {{\mu _w} = 4/3} \right)$. The focal length of the combination is

Options:

A) f/3

B) f

C) 4f/3

D) 3f/4

368

MediumNEET2016

The angle of incidence for a ray of light at a refracting surface of a prism is 45o. The angle of prism is 60o. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are

Options:

A) {45^o};\sqrt 2

B) {30^o};{1 \over {\sqrt 2 }}

C) {45^o};{1 \over {\sqrt 2 }}

D) {30^o};\sqrt 2

369

MediumNEET2016

Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror] Column 1 Column 2 (A) m = - 2 (p) Convex mirror (B) m = -${1 \over 2} (q) Concave mirror (C) m = +2 (r) Real image (D) m = +{1 \over 2}$ (s) Virtual image

Options:

A) A $ \to p and s; B \to q and r; C \to q and s; D \to $ q and r

B) A $ \to r and s; B \to q and s; C \to q and r; D \to $ p and s

C) A $ \to q and r; B \to q and r; C \to q and s; D \to $ p and s

D) A $ \to p and r; B \to p and s; C \to p and q; D \to $ r and s

370

MediumNEET2016

A astronomical telescope has objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance

Options:

A) 50.0 cm

B) 54.0 cm

C) 37.3 cm

D) 46.0 cm

371

MediumNEET2015

In an astronomical telescope in normal adjustment a straight black line of length L is drawn on inside part of objective lens. The eye-piece forms a real image of this line. The length of this image is $I$. The magnification of the telescope is

Options:

A) {{L + I} \over {L - I}}

B) {L \over I}

C) {L \over I} + 1

D) {L \over I} - 1

372

MediumNEET2015

A beam of light consisting of red, green and blue colours is incifent on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will

Options:

A) not separate the three colours at all

B) separate the red colour part from the green and blue colours

C) separate the blue colour part from the red and green colours

D) separate all the three colours from one another

373

MediumNEET2015

The refracting angle of a prism is A, and refractive index of the material of the prism is cot (A/2). The angle of minimum deviation is

Options:

A) 90o $-$ A

B) 180o + 2A

C) 180o $-$ 3A

D) 180o $-$ 2A

374

MediumNEET2015

Two identical thin plano-convex glass lenses (refractive index 1.5) each having radius of curvature of 20 cm are placed with their convex surfaces in contact at the centre. The intervening space is filled with oil of refractive index 1.7. The focal length of the combination is

Options:

A) -$ 50 cm

B) 50 cm

C) -$ 20 cm

D) -$ 25 cm

375

MediumNEET2014

The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2 A on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index $\mu $, of the prism is

Options:

A) 2sinA

B) 2cosA

C) {1 \over 2}$cosA

D) tanA

376

MediumNEET2014

If the focal length of objective lens is increased then magnifying power of

Options:

A) microscope will increase but that of telescope decrease.

B) microscope and telescope both will increase.

C) microscope and telescope both will decrease.

D) microscope will decrease but that of telescope will increase.

377

MediumNEET2013

Two plane mirrors are inclined at 70o. A ray incident on one mirror at angle, $\theta after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of \theta $ is

Options:

A) 45o

B) 30o

C) 55o

D) 50o

378

MediumNEET2013

A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices $\mu 1 and \mu $2 and R is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is

Options:

A) {R \over {\left( {{\mu _1} - {\mu _2}} \right)}}

B) {{2R} \over {\left( {{\mu _2} - {\mu _1}} \right)}}

C) {R \over {2\left( {{\mu _1} + {\mu _2}} \right)}}

D) {R \over {2\left( {{\mu _1} - {\mu _2}} \right)}}

379

MediumNEET2013

For a normal eye, the cornea of eye provides a converging power of 40 D and the least converging power of the eye lens behinf the cornea is 20 D. Using this information, the distance between the retina and the cornea-eye lens can be estimated to be

Options:

A) 1.67 cm

B) 1.5 cm

C) 5 cm

D) 2.5 cm

380

MediumNEET2012

For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index.

Options:

A) lies between $\sqrt 2 $ and 1

B) lies between 2 and $\sqrt 2

C) is less than 1

D) is greater than 2

381

MediumNEET2012

A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that its enf closer to the pole is 20 cm away from the mirror. The length of the image is

Options:

A) 10 cm

B) 15 cm

C) 2.5 cm

D) 5 cm

382

MediumNEET2012

A ray of light is incident at an angle of incidence i, on one face of a prism of angle A (assumed to be small ) and emerges normally from the opposite face. If the refractive index of the prism is $\mu $. the angle of incidence i, is nearly equal to

Options:

A) \mu $A

B) {{\mu A} \over 2}

C) {A \over \mu }

D) {A \over {2\mu }}

383

MediumNEET2012

When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index

Options:

A) equal to that of glass

B) less than one

C) greater than that of glass

D) less than that of glass

384

MediumNEET2012

A concave mirror of focal length $f1 is placed at a distance of d from a convex lens of focal length f2. A beam of light coming from infinity and falling on this convex lens -$ concave mirror combination returns to infinity. The distance d must equal

Options:

A) {f_1} + {f_2}

B) -{f_1} + {f_2}

C) 2${f_1} + {f_2}

D) -2{f_1} + {f_2}

385

MediumNEET2012

The magnifying power of a telescope is 9. When it is adjusted for parallel rays the distance between the objective and eyepiece is 20 cm. The focal length of lenses are

Options:

A) 10 cm, 10 cm

B) 15 cm, 5 cm

C) 18 cm, 2 cm

D) 11 cm, 9 cm

386

MediumNEET2011

A converging beam of rays is incident on a diverging lens. Having passed through the lens the rays intersect at a point 15 cm from the lens on the opposite side. If the lens is removed the point where the rays meet will move 5 cm closer to the lens. The focal length of the lens is

Options:

A) 5 cm

B) -$ 10 cm

C) 20 cm

D) -$ 30 cm

387

MediumNEET2011

A thin prism of angle 15o made of glass of refractive index $\mu 1 = 1.5 is combined with another prism of glass of refractive index \mu $2 = 1.75. The combination of the prisms produces dispersion without deviation. The angle of the second prism should be

Options:

A) 5o

B) 7o

C) 10o

D) 12o

388

MediumNEET2011

Which of the following is not due to total internal reflection ?

Options:

A) Working of optical fibre

B) difference between apparent and real depth of a pond

C) Mirage on hot summer days

D) Brilliance of diamond

389

MediumNEET2011

A biconvex lens has a radius of curvature of magnitude 20 cm. Which one of the following options describe best the image formed of an object of height 2 cm placed 30 cm from the lens ?

Options:

A) Virtual, upright, height = 1 cm

B) Virtual, upright, height = 0.5 cm

C) Real, inverted, height = 4 cm

D) Real, inverted, height = 1 cm

390

MediumNEET2010

A rays of light is incident on a 60o prism at the minimum deviation position. The angle of refraction at the first face (i.e., incident face) of the prism is

Options:

A) zero

B) 30o

C) 45o

D) 60o

391

MediumNEET2010

The speed of light in media M1 and M2 are 1.5 $ \times 108 m/s and 2.0 \times $ 108 m/s respectively. A ray of light enters from medium M1 to M2 at an incidence angle i. If the rays suffers total internal reflection, the value of i is

Options:

A) Equal to sin$-1 \left( {{2 \over 3}} \right)

B) Equal to or less than sin$-1\left( {{3 \over 5}} \right)

C) Equal to or greater than sin$-1 \left( {{3 \over 4}} \right)

D) Less than sin$-1\left( {{2 \over 3}} \right)

392

MediumNEET2010

A ray of light travelling in a transparent medium of refractive index $\mu , falls on a surface separating the medium from air at an angle of incidence of 45o. For which of the following value of \mu $ the ray can undergo total internal reflection ?

Options:

A) \mu $ = 1.33

B) \mu $ = 1.40

C) \mu $ = 1.50

D) \mu $ = 1.25

393

MediumNEET2010

A lens having focal length f and aperture of diameter d forms an image of intensity I. Aperture of diameter ${d \over 2}$ in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively

Options:

A) f\, and {I \over 4}

B) {{3f} \over 4} and {I \over 2}

C) f and {{3I} \over 4}

D) {f \over 2} and {I \over 2}

394

MediumNEET2008

Two thin lenses of focal lengths f1 and f2 are in contact and coaxial. The power of the combination is

Options:

A) {{{f_1} + {f_2}} \over 2}

B) {{{f_1} + {f_2}} \over {{f_1}{f_2}}}

C) \sqrt {{{{f_1}} \over {{f_2}}}}

D) \sqrt {{{{f_2}} \over {{f_1}}}}

395

MediumNEET2008

A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the sun is 1.39 $ \times 109 m and its mean distance from the earth is 1.5 \times $ 1011 m. What is the diameter of the sun's image on the paper ?

Options:

A) 6.5 $ \times 10-$5 m

B) 12.4 $ \times 10-$4 m

C) 9.2 $ \times 10-$4 m

D) 6.5 $ \times 10-$4 m

396

MediumNEET2007

A small coin is resting on the bottom of a beaker filled with liquid . A ray of light from the coin travels upto the surface of the liquid and moves along its surface. How fast is the light travelling in the liquid ?

Options:

A) 2.4 $ \times $ 108 m/s

B) 3.0 $ \times $ 108 m/s

C) 1.2 $ \times $ 108 m/s

D) 1.8 $ \times $ 108 m/s

397

MediumNEET2006

A convex lens and a concave lens, each having same focal length of 25 cm, are put in contact to form a combination of lenses. The power in diopters of the combination is

Options:

A) zero

B) 25

C) 50

D) infinite.

398

MediumNEET2006

A microscope is focussed on a mark on a piece of paper and then a slab of glass of thickness 3 cm and refractive index 1.5 is placed over the mark. How should the microscope be moved to get the mark in focus again ?

Options:

A) 2 cm upward

B) 1 cm upward

C) 4.5 cm downward

D) 1 cm downward

399

MediumNEET2004

A beam of light composed of red and green ray is incident obliquely at a point on the face of rectangular glass slab. When coming out on the opposite parallel face, the red green ray emerge from

Options:

A) Two points propagating in two different non parallel directions

B) Two points propagating in two different parallel directions.

C) One point propagating in two different directions.

D) One point propagating in the same firections.

400

MediumNEET2004

The refractive index of the material of a prism is $\sqrt 2 $ and its refracting angle is 30o. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face with retrace its path after reflection from the mirrored surface if its angle of incidence on the prism is

Options:

A) 45o

B) 60o

C) 0

D) 30o

401

MediumNEET2003

An equiconvex lens is cut into two halves along (i) XOX' and (ii) YOY' as shown in the figure. Let $f,f', f''$ be the focal lengths of the complete lens, of each half in case (i), and of each half in case (ii), respectively. Choose the correct statement from the following

Options:

A) f' = f,f'' = 2f

B) f' = 2f,f'' = f

C) f' = f,f'' = f

D) f' = 2f,f'' = 2f

402

MediumNEET2003

A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will

Options:

A) become zero

B) become infinite

C) become small, but non-zero

D) remain unchanged

403

MediumNEET2002

For the given incident ray as shown in figure, the condition of total internal refraction of this ray the required refractive index of prism will be

Options:

A) {{\sqrt 3 + 1} \over 2}

B) {{\sqrt 2 + 1} \over 2}

C) \sqrt {{3 \over 2}}

D) \sqrt {{7 \over 6}}

404

MediumNEET2002

Diameter of human eye lens is 2 mm. What will be the minimum distance between two points to resolve them, which are situated at a distance of 50 meter from eye. The wavelength of light is 5000 $\mathop A\limits^ \circ

Options:

A) 2.32 m

B) 4.28 mm

C) 1.25 cm

D) 12.48 cm

405

MediumNEET2002

A bulb is located on a wall. Its image is to be obtained on a parallel wall with the help of convex lens. The lens is placed at a distance d ahead of second wall, then required focal length will be

Options:

A) only ${d \over 4}

B) only ${d \over 2}

C) more than ${d \over 4} but less than {d \over 2}

D) less than ${d \over 4}

406

MediumNEET2001

Optical fibre are based on

Options:

A) total internal reflection

B) less scattering

C) refraction

D) less absorption coefficient.

407

MediumNEET2001

A disc is placed on a surface of pond which has refractive index 5/3. A source of light is placed 4 m below the surface of liquid. The minimum radius of disc needed so that light is not coming out is,

Options:

A) \infty

B) 3 m

C) 6 m

D) 4 m

408

MediumNEET2000

A bubble in glass slab ($\mu $ = 1.5) when viewed from one side appears at 5 cm and 2 cm from other side, then thickness of slab is

Options:

A) 3.75 cm

B) 3 cm

C) 10.5 cm

D) 2.5 cm.

409

MediumNEET2000

A tall man of height 6 feet, want to see his full image. Then required minimum length of the mirror will be

Options:

A) 12 feet

B) 3 feet

C) 6 feet

D) any length

410

MediumNEET2000

For a plano convex lens ($\mu $ = 1.5) has radius of curvature 10 cm. It is silvered on its plane surface. Find focal length after silvering

Options:

A) 10 cm

B) 20 cm

C) 15 cm

D) 25 cm

411

MediumNEET2000

Rainbow is formed due to

Options:

A) scattering and refraction

B) internal reflection and dispersion

C) reflection only

D) diffraction and dispersion.

411

Total Questions

Easy

312

Medium

Hard

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